You are skiing down a mountain with a vertical height of 1200 feet. The distance that you ski as you go from the top down to the base of the mountain is 2900 feet. Find the angle of elevation from the base to the top of the mountain.

Answers

Answer 1

Answer:

24.44°

Step-by-step explanation:

The set up will give a right angled triangle.

Given

The length of the hill (hypotenuse) = 2900feet

Vertical height (opposite) = 1200feet(That side is opposite the angle of elevation)

According to SOH;

sin theta = opp/hyp

Sin theta = 1200/2900

Sin theta = 12/29

Sin theta= 0.4138

theta= arcsin(0.4138)

theta = 24.44°

Hence the angle of elevation from the base to the top of the mountain is 24.44°


Related Questions

Refer to the previous question.

Consider the four options from Question 2 that could be a good choice for Cal Amity's survey. Then, select the one that you think would work most effectively in this situation. Lastly, describe in detail how you would select the individuals in the survey sample. (Include details such as how you might split the population into groups and/or what process you would use to make sure the survey respondents are chosen randomly, etc.) Support your choice of a random sampling method by explaining why it would be most effective in reducing bias.

The previous question:Which type of sample would not be a good choice for Cal Amity's survey, because it is known to cause bias?

a convenience sample
a stratified sample
a systematic sample
a simple random sample
a cluster sample

Answers

Answer:

The correct approach is "a simple random sample".

Step-by-step explanation:

A simple random sample will become more efficient throughout this scenario because a sample of individuals becomes randomly generated from some kind of community so each individual has the same likelihood of someone being picked.  This would contribute to the unpredictability as well as freedom of the experiments.  

Some other four approaches do never use any of certain characteristics. So that is indeed the best decision.

who ever gets this correct ill give brainliest and thank you and 5 stars

Answers

1 -15
2 27
3 2010
4 -38
5 376
6 -200
7 -3
8 150
9 41
10 -240
11 120
12 -60
13 1
14 9
15 23
16 107
17 45
18 19
19 0
20 4
21 12
22 0

Three pounds of bananas cost $7. How many pounds of bananas per dollar is that?

Answers

Answer:

It is $2.33 per pound I think

$2.3

Step-by-step: divide $7 by the 3 pounds of bananas

-2/3x+ 3/7 = 1/2
x= ?

Answers

Step-by-step explanation:

-2/3x+ 3/7 = 1/2

-2/3x = 1/2 -3/7

-2/3x = 7-6 /14

-2/3x = 1/14

3x = 1/14×(-2)

3x = 1/ -28

x = 1/ -28×3

x = 1/-84

The outside dimensions of a living room are 13' 0" x 22' 0". If the wall thickness is 5 1/8" , how many square feet of hardwood flooring are required for the living room floor? Allow 15% for waste A. 3,082 sq ft B. 295,35 sq ft C. 256.83 sq ft D. 3,432 sq ft

Answers

Answer:

B. 295,35 sq ft

Step-by-step explanation:

We are told that the outside dimensions of a living room are 13' 0" x 22' 0".

Since the wall has a thickness of 5 1/8", then the internal dimensions are;

Length = 22' 0" - 5⅛" - 5⅛" = 21' 1¾"

Width = 13' 0" - 5⅛" - 5⅛" = 12' 1¾"

The floor area will be length × width.

So let's convert length and width to feet

Length = 21' 1¾" = 21.1458 ft

Width = 12' 1¾" = 12.1458 ft

Area of floor required = 21.1458 × 12.1458 = 256.83

Allowing 15% for waste gives us;

Area provided = 256.83 × 1.15 = 295.35 Sq.ft

PLEASE solve both question with each step!!

Answers

Answer:

6x+10-3x=55

6x-3x=10+55

3x=65

65÷3=21.6

GE=5x+36 and GF=2x+51. What is the value of x? A=12 B=5 C=29 D=2

Answers

Answer:

x=5

Step-by-step explanation:

5x + 36  = 2x + 51

5x -2x  =  -36 + 51

  3x     =        15

         15/3

x = 5

A vacuum cleaner costs £85
Fred gets 10% off the price of the vacuum cleaner.

Work out how much he has to pay

Answers

Answer: £76.50

Step-by-step explanation:

You find 10% of 85 = 8.5

then you do £85-£8.50 = 76.50

You have family traveling from far away to come to your house for Thanksgiving. If they travel 342 miles and arrive to your house in 6 hours, how fast were they traveling? * 1 point

Answers

Answer:

they traveled at 57 miles per hour

Answer:

57 mph

Step-by-step explanation:

What value of x would prove that lines I and M are parallel ?

Answers

Answer:

x = 17

Step-by-step explanation:

For the lines to be parallel, then

(8x - 31) and (6x + 3) are alternate angles and congruent, then

8x - 31 = 6x + 3 ( subtract 6x from both sides )

2x - 31 = 3 ( add 31 to both sides )

2x = 34 ( divide both sides by 2 )

x = 17

Find the slope that passes through (4,9) and (6,8)

Answers

Answer: Y=-1/2x +11

-1/2 is the slope and 11 is the y-intercept

Martha ran a 5-kilometer race in 22.5 minutes what is Martha's unit rate​

Answers

22.5/5 = 4.5
For every 4.5 minute, she runs 5 km

If x=-2
f(x) = g(x),
is a solution to the equation
'which of these statements must be true?
The graphs of fand g intersect each other at
X = -2.
The graphs of f and g intersect each other at
X = 2.
-2.
The graphs of fand g intersect the x-axis at
-2.
The graphs of f and g intersect the y-axis at

Answers

Answer: I THINK it’s A

Step-by-step explanation:

Which sequence of transformations proves that shape I is similar to shape II

A. a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2

B. a reflection across the x-axis, and then a dilation by a scale factor of 3

C. a reflection across the x-axis, and then a dilation by a scale factor of 2

D. a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 3​

Answers

Answer:  C.  

a reflection across the x-axis, and then a dilation by a scale factor of 2

Step-by-step explanation: Just took the test and got it right.

Answer:

C. A reflection across the x-axis, and then a dilation by a scale factor of 2.

Step-by-step explanation:

Edmentum/Plato Answer

Find the value of x and y using matrix method. 2x – 5y = 7 -2x + 4y = - 6

Answers

9514 1404 393

Answer:

  (x, y) = (1, -1)

Step-by-step explanation:

The augmented matrix of coefficients for these equations is ...

  [tex]\left[\begin{array}{cc|c}2&-5&7\\-2&4&-6\end{array}\right][/tex]

The row-reduction function of your calculator can find the solution to the system of equations. The result of using that function is ...

  [tex]\left[\begin{array}{cc|c}1&0&1\\0&1&-1\end{array}\right][/tex]

This tells you the solution is (x, y) = (1, -1).

What does -3+5= equal

Answers

the answer to the question would be 2
think of it as 5-3

Answer:

2

Step-by-step explanation:

You know that -3 is smaller than 0 so you have to add 3 to get it to 0 then you get 2 more so you add 0 and 2 together to get 2.

Hope this helps please give brainliest

Drag each number to the correct location on the equations. Each number can be used more than once, but not all numbers will be used. Roy and Elisa are buying tickets for the annual school concert. Roy buys 6 adult tickets and 2 child tickets for a total of $66. Elisa buys 5 adult tickets and 4 child tickets for a total of $62. Determine the system of equations that can be used to find the cost of one adult ticket, a, and the cost of one child ticket, c. 66 62 5 2 8 128 4 6

Answers

Answer:

a=$10

c=$3

Step-by-step explanation:

Step one:

given data

let adults tickets be a

and child tickets be c

so

Roy's purchase

6a+2c=66------1

Elisa's purchase

5a+4c=62-------2

Hence,  the system of equations

6a+2c=66------1

5a+4c=62-------2

solving simultaneously

6a+2c=66------1 x2

5a+4c=62-------2 x1

  12a+4c=132

 -5a+4c=62

   7a=70

divide both sides by 7

a=$10

put  a=70 in 1

6(10)+2c=66------1

60+2c=66

2c=66-60

2c=6

c=$3

Answer:

first answer is right trust that one.

Step-by-step explanation:

i need help to solve please

Answers

Answer:

x = 8

Step-by-step explanation:

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

So,

[tex] \rm \longrightarrow 45 \degree + 80 \degree + (9x - 17) \degree = 180 \degree \\ \\ \rm \longrightarrow 125 + 9x - 17 = 180 \\ \\ \rm \longrightarrow 108 + 9x = 180 \\ \\ \rm \longrightarrow (108 - 108) + 9x = 180 - 108 \\ \\ \rm \longrightarrow 9x = 72 \\ \\ \rm \longrightarrow \dfrac{9}{9} x = \dfrac{72}{9} \\ \\ \rm \longrightarrow x = 8[/tex]

help, my teacher told me its wrong

Answers

Answer:

rate is $1.50

Step-by-step explanation:

4 to 8 has a difference of $6

every one pound will increase by 1.5

and the equation is correct


Solve for r:
6r - 8 = 4r + 2


please

Answers

Answer:

R = 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

 =  5

Step-by-step explanation:

1. Add 8 to both sides of the equation

2 . Simplify

3 . Subtract  4  from both sides of the equation

4 . Simplify  ( combine like terms )

5 . Divide both sides of the equation by the same term

6 . Simplify

Please , can someone answer thisss TmT

Answers

Answer:

7

Step-by-step explanation:

We have that x1=−1, y1=5, x2=3, y2=7.

Plug the given values into the formula for a slope: m=7−(5)3−(−1)=12.

Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).

b=5−(12)(−1)=112

Finally, the equation of the line can be written in the form y=b+mx:

y=112+x2

ANSWER

Answer:

-6

Step-by-step explanation:

can u mark me as a brainliest plz?

The number line shows the change in temperature from 7:00 a.M. To 1:00 p.M. Which expression shows how to find the difference between the temperatures at 7:00 a.M. And 1:00 p.M.?

Answers

Answer:

B

Step-by-step explanation:

The options in the question and the number line are shown in the image attached.

From the options, it is clear that the difference between the temperatures at 7:00 a.M. and 1:00 p.M is;

Temperature at 7:00 a.M - Temperature at 1:00 p.M

We can see from the number line that the temperature at 7:00 a.M = -4

Temperature at 1:00 p.M = 16

difference between the two temperatures = ∣(-4) - 16∣ = 20

En Mercurio las cosas pesan 4 veces menos que en la Tierra. Si un objeto pesa 30 kg en Mercurio, ¿Cuánto pesará en la Tierra? A- ¿26 kg? B- ¿120 kg? C- ¿7,5? D- ¿34 kg?

Answers

Answer:

B- ¿120 kg?

Step-by-step explanation:

Dado que la información proporcionada menciona que en Mercurio las cosas pesan 4 veces menos que en la Tierra, para encontrar el peso en la Tierra cuando tienes el precio del objeto en Mercurio, tienes que multiplicar este peso por 4:

30kg*4=120 kg

De acuerdo a esto, la respuesta es que el objeto pesará 120 kg en la Tierra.

Answer:

120 kg pesa el objeto en la tierra

Explicación paso a paso:

Tierra. Mercurio

1kg ----- 1/4 kg

¿? ---------- 30gk

Regla de tres..

1X30 ÷ (1/4)

= 120 kg pesa el objeto en la tierra.

Jdjdjshdhdbdnfndbdbddgggvvvvdfffdd

Answers

Answer:

Can I please have Brainlyest

Step-by-step explanation:

Hope you have a great day LOL :)

how do i Evaluate 4^2

Answers

Answer: 4 to the power of 2 is 16 or 4*4=16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

4 times 4= 16

4*4=16

This graph shows the costs of purchasing two types of bird seed mix. Which statement is true? Seed Mix A is more expensive than Seed Mix B. Seed Mix B is more expensive than Seed Mix A. Seed Mix A and Seed Mix B cost about the same. A graph measuring cost and bags. Two lines, labeled Seed Mix A and Seed Mix B, exit the origin to show that cost increases as bags increases

Answers

Answer:

seed Mix A is more expensive than Seed Mix B.

Step-by-step explanation:

The graph of Mix A is above the graph of Mix B.

Looking at the labels of the graphs, we see that the x-axis represents the number of bags bought and the y-axis represents the cost.

For every point along the x-axis, Mix A's cost is above Mix B's cost.  This means that Mix A is more expensive.Step-by-step explanation:

Answer:

A is more money than B

Step-by-step explanation:

2+3+7+34+7000+12242534

Answers

Answer:

The answer is 12249580

Step-by-step explanation:

add all the numbers:)

Answer:

12249580

Step-by-step explanation:

write the next three terms of the arithmetic sequence


-3/2, -1/2, 1/2, 3/2, 5/2, __, __, __

Answers

Answer:

8/2, 11/2, 13/2

Step-by-step explanation:

You just add 2 to the top number each time and keep the bottom number as 2.

:)

Given statements p and q below, which answer choice correctly states the bi conditional statement?

p: Three points are coplanar

q: Three points are collinear

A Three points are not collinear if they are coplanar.

B Three points are coplanar if and only if they are collinear.

C Three points are not coplanar if and only if they are not collinear.

D
Three points are collinear if they are not coplanar.

Answers

Answer: B, a bi-conditional statement is a if and only if statement, that is true.

solve the following system
6x-3y=15
x+3y=-8

Answers

Answer:

This system can be solved for x by elimination.

[tex]6x - 3y = 15\\ x + 3y = -8\\\\7x = 7\\\\x = 1[/tex]

Now, with what we found for x, we plug it back into one of the equations to solve for y. I chose the second one.

[tex]1 + 3y = -8\\\\3y = -9\\\\y = -3[/tex]

Now, we have our solution.

[tex](1, -3)[/tex]

Answer:

(1,-3)

Step-by-step explanation:

6x-3y=15

substitute x with 1 and y with -3

6(1)-3(-3)=15

6+9=15 so that's true

x+3y=-8

again substitute x with 1 and y with -3

(1)+3(-3)= -8

1-9=-8

-8=-8 and that's true

hope i helped

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