Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevation from the point on the ground where Johnny is standing is 70 degrees to the top of Building A and 52 degrees to the top of Building B. How far apart are the two buildings

Answers

Answer 1

Answer:

389 feets apart

Step-by-step explanation:

Given that:

Building A

Height = 400feets

Angle of elevation = 70°

Building B:

Height = 300 feets

Angle of elevation = 52°

Distance from the foot of building A to where Jonny is standing = x (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 70 = 400/ x

2.7474774x = 400

x = 145.58809 feets

Distance from the foot of building B to where Jonny is standing = y (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 52 = 300/ y

1.2799416y = 300

y = 145.59

y = 234.38568 feets

x + y = distance between the two buildings

(145.58809 + 234.38568) feets

= 379.97377

= 380 feets apart

Building A Is 400 Feet Tall And Building B Is 300 Feet Tall. Johnny Is Standing In Between The Two Building.

Related Questions


The difference of two numbers is 308. The smaller of the numbers is 730. What is
the other number?

Answers

Answer:

1038

Step-by-step explanation:

730+308= the big number

Answer:

1038

Step-by-step explanation:

PLS ANSWER FAST!!!


a rate is a ratio that compares

A) a part to a part

B) a part to a whole

C) quantites with different units

D) quantities with the same units

Answers

Answer:

c

Step-by-step explanation:

A rate is a ratio that compares quantites with different units.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

A rate is a comparison of two quantities that have different units, such as miles per hour, dollars per gallon, or meters per second.

A rate can be expressed as a fraction or a ratio, with the numerator representing the quantity being measured and the denominator representing the unit of measurement.

Hence, a rate is a ratio that compares quantites with different units.

To learn more on Ratios click:

https://brainly.com/question/1504221

#SPJ5

Which of the scatterplots have no correlation? Check all that apply.

On a graph, points curve up and down.
On a graph, points are grouped together to form a horizontal cluster.
On a graph, points are grouped together to form a vertical cluster.
On a graph, points are grouped together and decrease.
On a graph, points are scattered over the graph.

Answers

Answer:

2, 3, and 5

Step-by-step explanation:

got it right on test.

The scatterplots (B), (C), and (E) have no correlation. which is the correct answer would be options (B), (C), and (E)

What is the Scatter plot?

The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.

When analyzing data with more than two variables, a scatter plot is used, which has a separate vertical axis for each variable.

According to the given option,

The second has no slope, therefore there is no correlation.

The third has a zero average slope with no upward or descending trend; no correlation.

The fifth has a general increasing tendency and will have a non-zero correlation.

Thus, the scatterplots (B), (C), and (E) have no correlation.

Hence, the correct answer would be options (B), (C), and (E),

Learn more about the Scatter plot here:

brainly.com/question/1386565

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Which of the following statements can be used to show that today's high temperature, 12°F, is warmer than yesterday's high temperature, which was -15°F?

-15°F = 12°F
-15°F ≥ 12°F
-15°F 72°F

Answers

Answer:

-15°F < 12°F

Step-by-step explanation:

Hope it helps you in your learning process.

Find the values of X and Y

Answers

Answer:

x=90, angle bisector theorem

y=43,

90+47+y=180

=137+y=180

y=43

If u can guess the number I’m thinking of you will get brainliest. 1-20

Also if u dig a 6 feel hole how deep is that hole?

Answers

about 20 feet deep yessir

im guessing 12

and if you dig a 6 feet deep hole its 6 feet

Pueden responder rápido por favor? tengo hasta las 10 :v
Para preparar una ración se utilizan tres cereales: A, B y C. La ración I tiene 20 Kg del cereal A, 50
Kg del cereal B y 100 Kg del cereal C. La ración II tiene 35 Kg del cereal A, 60 Kg del cereal B y 80
Kg del cereal C. La ración III tiene 45 Kg del cereal A, 45 Kg del cereal B y 50 Kg del cereal C. Se
tiene 36000 Kg del cereal A, 40000 Kg del cereal B y 48000 Kg del cereal C. ¿Cuántas unidades
de cada ración se pueden preparar si se utiliza todo el cereal disponible?

Answers

Answer:

what are u saying I asked my Spanish teacher and she said...

Step-by-step explanation:

its D idn why hm any way have a great day if u can understand what I'm saying :D

I need explanation + answer.
Do not write the answer without explanation, please.
thanks in advance!

Answers

Answer:

C. 22,400.

Step-by-step explanation:

62.9% = 0.629 as a decimal fraction.

Total number of employees in small businesses in the county

= 270 * 132.

So the estimated number with less than $1000 savings

= 270 * 132 * 0.629

= 22,417.

Plz someone help I beggggg

Answers

Answer:

25100 i believe  would be the answer

Step-by-step explanation:

help meh please i need hell

Answers

Answer:

1 3/8

Step-by-step explanation:

Write in y=mx+b form

Answers

Step-by-step explanation:

b =-4 (y-intercept)

x =0

m = 0 (the line doesn't have a slope)

y = mx + c

y = 0(0) + (-4)

y = - 4

Write down the solution to these simultaneous equations.
y = 2x + 1
y=0.5x – 2​

Answers

Step-by-step explanation:

2x +1= 0.5x - 2

X = - 2

y = 0.5x (- 2) - 2

y = - 3

( x, y ) = ( -2 , -3 )

hope it helps!

Calculate the area of the shaded region

Answers

Area of the rectangle = (18 m) (12 m) = 216 m²

Area of the triangle cutout = 1/2 (7 m) (9 m) = 63/2 m²

Area of the shaded region = 216 m² - 63/2 m² = 369/2 m² = 184.5 m²

she has 3 bags of flour and 2 smaller bags with 0.75 kg and a bigger bag that ha 1.14 how much flower does she have in total

Answers

Answer:

3(1.14) + 2(0.75)

3.42 + 1.5

4.92 kg of flour

What is the value of x?

Answers

triangles=180

70+30=100

so x has to equal 80

(mark brainliest if correct pls)

Sum of three angles in the triangle equals to 180.

70+30+x=180

100+x=180

x=180-100

x=80

Therefore, the answer is 80.

Exercise 21
Let x represents a length in cm where x > 1.5.
AB = 2x - 3, BC = 4x – 6,
AD = 2x + 3 and BE = 4x +1
• ABC is right triangle of area Si.
. CBFG is a rectangle of area S2.
. ADEB is a right trapezoid of area S3.
1) Express S1 and S2 and S3 in terms of x
Plzzz I need help

Answers

Answer:

see explanation

Step-by-step explanation:

area of Δ ABC is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 4x - 6 and h = 2x - 3 , then

A = [tex]\frac{1}{2}[/tex] (4x - 6)(2x - 3) ← expand using FOIL

   = [tex]\frac{1}{2}[/tex](8x² - 24x + 18) ← distribute

    = 4x² - 12x + 9

----------------------------------------------------------

Area of rectangle CBFG is calculated as

A = lb ( l is length, b is breadth )

Here l = 4x - 6 and b = 3x - 2, then

A = (4x - 6)(3x - 2) ← expand using FOIL

   = 12x² - 26x + 12

----------------------------------------------------------

Area of trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)

where h is the height and b₁, b₂ the parallel bases

Here h = 2x - 3, b₁ = 4x + 1, b₂ = 2x + 3 , then

A = [tex]\frac{1}{2}[/tex] (2x - 3)(4x + 1 + 2x + 3)

   = [tex]\frac{1}{2}[/tex] (2x - 3)(6x + 4) ← expand using FOIL

   = [tex]\frac{1}{2}[/tex] (12x² - 10x - 12) ← distribute

   = 6x² - 5x - 6

A bag contains only red, blue and green counters.
There are 120 counters in the bag.
The probability of choosing a red counter is ¼ and the probability of choosing a blue
counter is 0.2
How many green counters are in the bag?

Answers

Answer:

         

Step-by-step explanation:  

   

Answer:

66

Step-by-step explanation:

Red counters: 120/4=30

Blue counters:120/5=24

Green counters:30+24=54, 120-54=66

A sweater is $43. It is on sale for 20% off. What is the final price? $34.40 $47 $8.60​

Answers

43 * 0.20 = 8.6 dollars off
43 - 8.6 = 34.40
Solution: $34.40

Answer:

34.40

Step-by-step explanation:

43×0.2 = 8.60

43-8.60= 34.40

please help!
the answer is in the picture because i can’t type it out :D

Answers

Answer:

x is 20 and y is 23

Step-by-step explanation:

Answer:

x = 15

y = 4

Step-by-step explanation:

In a triangle a line parallel to any of the sides of the triangle divides the remaining two sides in the proportion. Therefore,

[tex] \frac{12}{y} = \frac{x}{5} = \frac{18}{6} \\ \\ \frac{12}{y} = \frac{x}{5} = \frac{3}{1} \\ \\ \implies \:\frac{x}{5} = \frac{3}{1} \\ \\ x = 5 \times 3 \\ \\ x = 15 \\ \\ \\ \frac{12}{y} = \frac{3}{1} \\ \\ 3y = 12 \\ \\ y = \frac{12}{3} \\ \\ y = 4[/tex]

what is the difference between the 11th square number and the 4th square number?

Answers

Answer:1 squared 1

2 squared 4

3 squared 9

4 squared 16

5 squared 25

6 squared 36

7 squared 49

8 squared 64

9 squared 81

10 squared 100

11 squared 121

12 squared 144

13 squared 169

14 squared 196

15 squared 225

16 squared 256

17 squared 289

18 squared 324

19 squared 361

20 squared 400

Step-by-step explanation:

dude just search it up

Answer:

105

Step-by-step explanation:

The 11 th square number is 11² = 121

The 4 th square number is 4² = 16

Their difference is 121 - 16 = 105

Calculator Item 2 is unpinned. Click to pin. Mrs. Pitts wrote the volume formula as "V=1/3 Bh. What does "B" represent? A: The radius of the base B: The circumference of the base C: The diameter of the base. D: The area of the base.

Answers

Answer:

D: The area of the base.

Step-by-step explanation:

The volume of a triangular based pyramid is represented by the formula given that the question as:

V = 1/3BH

where B = Base area of the triangular based pyramid

H = Height of the triangular based pyramid.

Hence, option D is correct

B = The area of the base.

(multiple choice) How is e-mail different from other types of communication?


can't save messages

can't hear tone of voice

can't get clues from body language

can't access sent messages

Answers

Answer: You can't hear the tone of voice or get clues from body language.

Step-by-step explanation:

When sending emails, the sender and the recipient communicate through a screen, thus each person is unable to see the other when conversing or hear the inflections or emphasis of voice in the message, although we can always attempt to interpret tone. Email allows you to store emails in the inbox or archive and access sent messages, but email lacks the ability to intimately understand specifics such as tone of voice or body language.

Answer:

cant get clues from body language, cant hear tone of voice

Step-by-step explanation:

What is the value of x^2 - 3y + 5x + 2 whenx = 7 and y = 4?

Answers

Answer:

74

Step-by-step explanation:

[tex]x^2 - 3y + 5x + 2 \\ \\ = {7}^{2} - 3(4) + 5(7) + 2 \\ \\ = 49 - 12 + 35 + 2 \\ \\ = 74[/tex]

question: How many unites down would triangle RST need to be translated in order for the coordinates of R to be (-3, 0)​

Answers

Answer C 5 units .... because you start at R and if you want to translate it to R’ (-3,0) you will count down until you have reached -3 which will be 5 units

Solve the following equation for I. A = 2nr + nrl. Explain each step please

Answers

Sorry I’m not sure but I’ll try and help- lemme just add it to a different comment

So if 15 + 5 is 20 and 30 + 30 is 60 then what is 9 + 12 x 15 plus if red is blue are purple then what is 2 + 5 = ? (Red = 1 (Orange = 2 (Yellow = 3 (Green = 4 (Blue = 5 (Purple = 6 (Pink = 7 (Black = 8 (White = 9

Answers

Answer:

Step-by-step explanation:

Given that:

If  15 + 5 is 20 and 30 + 30 = 60

Then what is  9 + 12 x 15

This is a simple Arithmetic calculation which can be determined by using BODMAS ( Bracket of Division Multiplication Addition and subtraction)

= 9 + 12 × 15

The first step is to multiply 12 by 15

= 9 + 180

The add both values together

= 189

However, if (Red = 1 (Orange = 2 (Yellow = 3 (Green = 4 (Blue = 5 (Purple = 6 (Pink = 7 (Black = 8 (White = 9

And we are given an example which says:

red + blue = purple

i.e.

1 + 5 = 6 which is true

Then; to determine, 2 + 5 = ?

SO,

2 + 5 = 7

i.e.

Orange + Blue = Pink

brooke plays on her schools softball team. Last season she was at bat 500 times and made a safe hit 28% of the time. How is 28% expressed as a fraction


PLEASE HELP please?

Answers

Answer:

28/100

Step-by-step explanation:

please help. i’ll give brainliest

Answers

Answer: What is the question?

Step-by-step explanation:

What is the question?

Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).

Answers

Answer:

[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]

Domain: [tex]x \ne 1[/tex]

Step-by-step explanation:

Given

[tex]f(5x) = \frac{x - 5}{5x - 1}[/tex]

Required

Determine f(x) and its domain

To determine f(x), we replace 5x with x in f(5x)

So, we have:

[tex]f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}[/tex]

[tex]f(x) = \frac{\frac{x}{5} - 5}{x - 1}[/tex]

Take LCM

[tex]f(x) = \frac{\frac{x - 25}{5}}{x - 1}[/tex]

[tex]f(x) = \frac{x - 25}{5} * \frac{1}{x-1}[/tex]

[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]

To get the domain, we set the denominator as

[tex]5x - 5 \ne 0[/tex]

[tex]5x \ne 5[/tex]

[tex]x \ne 1[/tex]

What is the inverse of the function f(x) = 2x-10?

Answers

Answer:

One sec

Step-by-step explanation:

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