1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
telo118 [61]
3 years ago
15

From the top of an apartment building, the angle of depression to a car parked on the street below is 32 degree. The car is park

ed 90 feet from the base of the building. Find the height of the building to the nearest whole number of feet.

Mathematics
1 answer:
Citrus2011 [14]3 years ago
6 0

Answer: The height of the building = 56 feet.

Step-by-step explanation:

Let AB be the height of the building and BC be the distance of the car from the building on the ground.

Now , ∠ C = 32°   [Alternate interior angles ]

According to the trigonometry,

\tan x =\dfrac{Perpenicular}{base}\\\\\Rightarrow\ \tan 32^{\circ} =\dfrac{AB}{90}\\\\\Rightarrow\ 0.6248693519=\dfrac{AB}{90}\\\\\Rightarrow\ AB = 90\times 0.6248693519=56.238241671\approx56

Hence, the height of the building = 56 feet.

You might be interested in
About 12% of individuals write with their left hands. If a class of 130 students meets in a classroom with 130 individual desks,
Lynna [10]

Answer:

0.1019

Step-by-step explanation:

Probability, p=12%=0.12

Sample size, n=130 students

Those writing with left=14 students

Using the formula for binomial distribution

P(X≤x)=\left[\begin{array}{}n\\x\end{array}\right]p^{x}(1-p)^{n-x}

Substituting 0.12 for p, 130 for n, 14 for x we obtain

P(X≤x)=\left[\begin{array}{}130\\14\end{array}\right]0.12^{14}(1-0.12)^{130-14}

P(X≤x)=130C14*0.12^{14}(0.88)^{116}

P(X≤x)=0.1019

3 0
3 years ago
Part 1 of 2
gogolik [260]

Answer:

The error is when 6y = 12 it will be -6y = 12 and the intercept would be -2.

Step-by-step explanation:

5 0
11 months ago
Convert y+7=4(x-3) standard form
True [87]

Answer:

-4x+y = -5

Step-by-step explanation:

Y+7=4(x-3)

Y+7=4x-12

+7. +7

Y=4x-5

-4x+y=-5

7 0
3 years ago
The cost of attending an amusement park is $10 for children and $20 for adults. On a particular day, the attendance at the amuse
Lapatulllka [165]

Using a system of equations, it is found that 10,000 children attended the park that day.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable c: Number of children in the park.
  • Variable a: Number of adults in the park.

The attendance at the amusement park is 30,000 attendees, hence:

c + a = 30,000, which is the first equation in matrix form.

Then:

a = 30,000 - c

The cost of attending an amusement park is $10 for children and $20 for adults. The total money earned by the park is $500,000, hence:

10c + 20a = 500,000, which is the second equation in matrix form.

Since a = 30,000 - c, we replace:

10c + 20a = 500,000

10c + 20(30000 - c) = 500,000

10c = 100,000

c = 10,000.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

8 0
2 years ago
A graph titled Passing Statistics has pass attempts on the x-axis, and yards on the y-axis. A line goes through points (24, 127)
bogdanovich [222]

Answer:

1/3x

Step-by-step explanation:

Subtract x by x and y by y to find the distance/difference

36            163

24,          127

= 12/36 = rise/run

Now reduce to find the slope, reduce until you can't anymore.

12/36

6/18

3/9

1/3 (that's your slope)

4 0
3 years ago
Other questions:
  • In the diagram, g ∥ h, m∠1 = (4x + 36)°, and m∠2 = (3x – 3)°. What is the measure of ∠3? 21° 60° 120° 159°
    9·1 answer
  • We’re does 1 3/5 go on a number line
    13·1 answer
  • Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of qua
    6·1 answer
  • Find the value of x if the points (x,5) and (3,7) lie on the line whose slope is 4/7
    9·1 answer
  • Graph each function <br> Y=|x|-1; D:{-4, -2, 0,2,4}
    14·1 answer
  • An isosceles triangle has a hypotenuse that measures 12√2. What is the area of that triangle
    6·1 answer
  • I am not sure if my son got the first answers right and he is stuck on the last three. The teacher did not provide good instruct
    12·1 answer
  • In the diagram, which pair of angles are vertical angles?
    15·1 answer
  • Can you help solve pleas
    11·1 answer
  • What is (672)x(755)-5​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!