given the information in the picture which trigonomic identity can be used to solve for the height of the blue ladder that is leaning against the building​

Given The Information In The Picture Which Trigonomic Identity Can Be Used To Solve For The Height Of

Answers

Answer 1

Answer:

cosine rule - cos = [tex]\frac{a}{h}[/tex]

Step-by-step explanation:

Here the ladder is acting as hypotenuse and base as adjacent.

Formula: cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Answer 2
Height of tower can be taken as perpendicularBase is already given

And we know

[tex]\\ \tt\hookrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \tt\hookrightarrow tan47=\dfrac{P}{30}[/tex]


Related Questions

Pierce has 1/4 as many tokens as Kelly. Ron has 8 more than 50% of the tokens that Kelly has. Kelly has 64 tokens. Write an expression for the total number of tokens the group has.

Answers

Answer:

120

Step-by-step explanation:

Kelly = 64 tokens

Ron = 40 tokens

Pierce = 16 tokens

Total = 120 tokens

symmentry of pentagon​

Answers

Answer:

5 is the answer..................

help asap with this question please

Answers

Answer:

Here is the graph for the equation, which is y = 4^x

Step-by-step explanation:

Hope this helps =)

Find the volume of the prism

Answers

Answer:

The volume of the prism is 20 meters.

Step-by-step explanation:

2 x 2 x 5 equals 20

Answer:

20 m³

Step-by-step explanation:

Volume of a rectangular prism = width x length x height

Given:

width = 2length = 2height = 5

⇒ volume = 2 x 2 x 5 = 20 m³

A certain Tutoring company promised that they will help Suzy's son,Sidney ,to increase his marks by 50% or more.Sidney's Mathematics average mark was 30%.At the end of the year.Sidney's mark increased to 48%.Did this Tutoring company deliver?​

Answers

Answer:

yes

Step-by-step explanation:

48 - 30 = 18

18/30 = 3/5 = 60%

Use the piecewise function graph to the right to find:

Answers

Answer:

a) f(-8) = 1

b) f(-4) = 5

c) f(2) is undefined

Step-by-step explanation:

f(x) notation means "the function of x".  Therefore, for f(-8) you need to find the y value when x = -8.  Locate -8 on the x-axis and then follow up (or down) until you meet the curve/line.  Then find the corresponding y-coordinate of this point.

From inspection of the graph:

a) f(-8) = 1

b) f(-4) = 5

c) f(2) is undefined

A parallelogram has an area of 37 square feet. If the height of the parallelogram is 4 feet, how many feet is the base?

Answers

Answer:

9.25 ft

Step-by-step explanation:

We know that area of parallelogram= base × height

What is the solution to this inequality?
7x - 4< 4(x+3)

Answers

Answer:

x <16/3

Step-by-step explanation:

7x - 4< 4(x+3)

Distribute

7x - 4< 4x+12

Subtract 4x from each side

7x-4x - 4< 4x-4x+12

3x-4 < 12

Add4 to each side

3x-4+4 < 12+4

3x<16

Divide each side by 3

3x/3 <16/3

x <16/3

A negative number is always less than a positive number do you beliece in that statement? why or why not​

Answers

Answer:

yes a negative number is less than a positive.

Step-by-step explanation:

Because  the negative number is below zero and positive number are above Zero


It took 3 apples, 7 orange and 3 bananas to make 4
smoothies. How many fruit would be needed
for 12 smoothies?

Answers

Answer:

9 apples, 21 oranges, 9 bananas.

Step-by-step explanation:

i did the math

Answer:

It would be 39 fruits

Step-by-step explanation:

If you add up 3+7+3=13 which makes 4 smothies. So 4×3=12 then you would do 13×3=39

you throw a rock up into the air as hard as you can. it stays in the air for 8 seconds. what was the velocity of the rock when you threw it?

Answers

Answer:

39.2 m/s

Step-by-step explanation:

Let a = 9.8 m/s^2, t = 8 sec, find the initial velocity v

After time t, the rock hit the ground, so the height h = 0

Use h = vt - at^2/2 = 0

v = at/2 = 9.8 * 8/2 = 39.2 m/s

Alesandra is making paper cranes as decorations for a party. She will have
275 when she is done. After she makes fifteen more, she will be one fifth
of the way to her goal. How many does she currently have?

Answers

Answer:

135 is the amount of that she has for now

Please help with this fractions problem god bless you and ypur loved ones

Answers

Answer:

A=4. B=5. C=24

PLEASE HELP ME WITH THIS !! ILL GIVE BRAINLIEST

Answers

Answer:

D. d ≈ 9.4

Step-by-step explanation:

[] We can use the distance formula to solve

-> The distance formal is attached.

[tex]d = \sqrt{(4-9)^{2}+ (2-10)^{2} }[/tex]

[tex]d = \sqrt{(-5)^{2}+ (-8)^{2} }[/tex]

[tex]d = \sqrt{25+ 64 }[/tex]

[tex]d = \sqrt{89}[/tex]

d ≈ 9.4

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

plz answer the following file attached

Answers

Answer:

i like how to tell us to answer something with no file

Step-by-step explanation:

Anita recorded the amount of rainfall each day for 14 days. What was the total amount of rainfall in the 14 days?l

Answer Choices:

A. 6 7/8 inches

B. 4 1/2 inches

C. 3 3/8 inches

D. 1/8 inches

Answers

The total amount of rainfall is the sum of the rainfall on each day

The total amount of rainfall is [tex]3\frac 38[/tex] inches

How to determine the total amount of rainfall

From the dot plot, we have the following frequency table

Rainfall    Frequency

0                  4

1/8               5

1/4               1

3/8              2

1/2               1

1 1/4             1

So, the total amount of rainfall is:

[tex]Total = 0 * 4 + \frac 18 * 5 + \frac 14 * 1 + \frac 38 * 2 + \frac 12 * 1 + 1\frac 14 * 1[/tex]

Evaluate the sum

[tex]Total = 3\frac 38[/tex]

Hence, the total amount of rainfall is [tex]3\frac 38[/tex] inches

Read more about dot plots at:

https://brainly.com/question/15853311

How are triangles related to quadrilaterals?

Answers

Answer:

The triangle's area formula is half of the quadrilateral's area formula

Step-by-step explanation:

If we put triangle ONE on top of triangle MHS, we could compare each angle, and we would find that the corresponding angles are all congruent. If we measured the angles, we would find that the corresponding angles are congruent. Therefore, these quadrilaterals are similar.

A meal has 408 calories in 8 servings. Find the unit rate.

Answers

Answer:

51 calories per serving

Step-by-step explanation:

Take the total number of calories and divide by the number of servings

408 calories / 8 servings

51 calories per serving

The unit rate is 51.
408/8=51

You bought a laptop and paid initial $150 you will
Make 12 payments of $69.50 how much will computer cost of your state charges 6% sales tax on the total sale?

Answers

Answer:

Step-by-step explanation:

Total Cost = 150 + 69.50*12

Total Cost = 150 + 834

Total Cost = 984

Hidden in that is a 6% sales tax

Cost before sales tax =  1.06 * x = 984. This is the key step. The 6% sales tax is hidden in the 1.06. So you call the original price = x.

1.06 * x = 984                 Divide by 1.06

x = 928.3                        without the sales tax

The question seems to be answered by 984. The sales tax is in that cost.

A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is 980 meters from the base of the cliff. The angle of elevation from sea level to the base of
the lighthouse is 47.3. The angle of elevation from sea level to top of the lighthouse is 51.3°. Find the height of the lighthouse from the top of the cliff.
Do not round any intermediate computations. Round your answer to the nearest tenth.
Note that the figure below is not drawn to scale.

Answers

The height of the lighthouse from the top of the cliff is 161.2 cm

The situation forms two right angle triangle.

Right angle triangle

Right angle triangle has one of its angles as 90 degree. Therefore, the sides and angles can be found using trigonometric ratios as follows;

tan 51.3 = opposite / adjacent

where

opposite = height of cliff and light house = x

adjacent  = distance of the ship from the base of the cliff

Therefore,

tan 51.3 = x / 980

cross multiply

x = 980 tan 51.3

x = 1223.23995563 meters

tan 47.3 = opposite / adjacent

where

opposite = height of cliff = y

adjacent = distance of the ship from the base of the cliff

tan 47.3 = y / 980

y = 980 tan 47.3

y = 1062.01582791 meters

The height of the lighthouse from the top of the cliff = 1223.23995563 -  1062.01582791 = 161.224127725  = 161.2 cm

learn more on trigonometric ratio here: https://brainly.com/question/26299702

A shipment of 13 microwave ovens contains six defective units. A vending company purchases four units at random.
(a) What is the probability that all four units are good?

(b) What is the probability that exactly two units are good?

(c) What is the probability that at least two units are good?

Answers

Not sure but I think

a) 4/6 which is 66.67%
b) 2/6 which is 33.33%
c) 4/6 which is 66.67%

i haven’t even finished high school so please don’t blame me if im wrong I do think that is the answer

g^2 + 13g Find the value of this expression where g=4

68

23

5

456

Answers

Answer:

68

Step-by-step explanation:

=> g²+13g

putting the value of g which is 4

=> 4²+13(4)

=> 16+52

=> 68

Answer:

68

Step-by-step explanation:

We simply just plug in 4 for g since the problem states that "g=4"

Which turns our expression to "[tex]4^{2} +13(4)[/tex]"

_________________________

We start by calculating what [tex]4^{2}[/tex] equals which is 16 (4 * 4)

Now we do 13 times 4 which is 52

52 + 16 = 68

Find the area of the given figure which have all the squares corners.​

Answers

Answer:

area of the given figure: 58 m²

Explanation:

area of rectangle: length * width

total area:

( 2 * 5 + 12 * 4 )

58 m²

Answer:

The area of the given figure is 58 m².

Step-by-step explanation:

Dividing the given figure into two parts :

➛ Big rectangle ➛ Small rectangle

———————————————————————

Firstly, finding the area of bigger rectangle by substituting the values in the formula :

[tex]\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}[/tex]

➣ l = 12 m➣ b = 4 m

[tex]\begin{gathered} \qquad\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 12\times 4}}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} =48}}}\\\\\qquad{\star{\underline{\boxed{\sf{\pink{A_{(Rectangle)} =48 \: {m}^{2}}}}}}} \end{gathered}[/tex]

Hence, the area of bigger rectangle is 48 m².

———————————————————————

Secondly, finding the area of smaller rectangle by substituting the values in formula :

[tex]\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}[/tex]

➠ l = 5 m➠ b = 2 m

[tex]\begin{gathered} \qquad\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 5\times 2}}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} =10}}}\\\\\qquad{\star{\underline{\boxed{\sf{\purple{A_{(Rectangle)} =10 \: {m}^{2}}}}}}} \end{gathered}[/tex]

Hence, the area of smaller rectangle is 10 m².

———————————————————————

Now, finding the total area of given figure by substituting the values in the formula :

[tex]\longrightarrow{\pmb{\sf{Total \: Area = A_{(Big)} + A_{(Small)}}}}[/tex]

→ [tex]\rm{A_{(Big)}}[/tex] = Area of big rectangle → [tex]\rm{A_{(Small)}}[/tex] = Area of small rectangle

[tex] \begin{gathered} \qquad{\longrightarrow{\sf{Total \: Area = A_{(Big)} + A_{(Small)}}}} \\ \\ \quad{\longrightarrow{\sf{Total \: Area = 48 + 10}}} \\ \\ \quad{\longrightarrow{\sf{Total \: Area = 58}}} \\ \\ \quad{\star{\underline{\boxed{\sf{\red{Total \: Area =58\: {m}^{2}}}}}}} \end{gathered}[/tex]

Hence, the total area of the given figure is 58 m².

[tex]\rule{300}{2.5}[/tex]

she sells tickets for $15 each her goal is to raise more than $180 how many tickets to get her goal

Answers

Answer:

12

Step-by-step explanation:

you will have to divide $15 by $180 and when you do that your result should end up being 12, hope that helped


Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Thanks so much!!

Answers

Answer:it would be 88 because of the co efficient due to the process of mingus in china which made it a law to not pursue dreams within country borders

Step-by-step explanation:

Answer: 120 yds

Explanation: 6x6 is 36 and multiply it by two (72) for both of the larger sides. Then 6x2 for the smaller sides (12) and then x4 (48)
add everything up and you get 120 yds.

What is the solution to the equation below. square root x + 6 = x - 6

Answers

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]\sqrt{x+6} =x-6\\[/tex]

square both sides:

[tex]\implies x+6=(x-6)^2[/tex]

Expand brackets:

[tex]\implies x+6=x^2-12x+36[/tex]

Collect and combine like terms:

[tex]\implies x^2-13x+30=0[/tex]

[tex]\implies (x-10)(x-3)=0[/tex]

[tex]\implies x=10, x=3[/tex]

Substitute values back into original equation:

[tex]x=10: \sqrt{10+6} =10-6 \implies 4 = 4 \ \ \checkmark[/tex]

[tex]x=3: \sqrt{3+6} =3-6 \implies 3 = -3 \ \ \textsf{incorrect!}[/tex]

Therefore, [tex]x=10[/tex] only

[tex]\\ \tt\rightarrowtail \sqrt{x+6}=x-6[/tex]

[tex]\\ \tt\rightarrowtail x+6=(x-6)^2[/tex]

[tex]\\ \tt\rightarrowtail x+6=x^2-12x+36[/tex]

[tex]\\ \tt\rightarrowtail x^2-13x+30=0[/tex]

[tex]\\ \tt\rightarrowtail x^2-10x-3x+30=0[/tex]

[tex]\\ \tt\rightarrowtail (x-3)(x-10)=0[/tex]

[tex]\\ \tt\rightarrowtail x=3,10[/tex]

The graph shows the cost of bowling at a bowling ally.

How much is the cost of each game?

Answers

Answer:

Step-by-step explanation:

( 2 , 26 )

( 0 , 4 )

m = (26 - 4 ) / ( 2 - 0 ) = 11

Cost of each game is $11

tan 45° + cos 60
Sin 150°

Answers

Answer:

solution:

2+2cos (60)

Step-by-step explanation:

wc:>

Classify this triangle by its sides and angles.

Answers

Answer:

[tex]\huge\boxed{\sf acute\ and \ scalene}[/tex]

Step-by-step explanation:

In terms of sides:

Since, all of the sides of the triangles are unequal (As indicated), it is a scalene triangle.

In terms of angles:

All the angles are less than 90 degrees (acute), hence, it is an acute triangle.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807


Determine the type of solution you will have if you get x=0.25

Answers

Uhhhh a rational solution? an nonintegral solution? A  system of linear equations? Multiple systems of nonlinear equations?

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