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
stira [4]
3 years ago
15

Elliott is standing at the top of a store escalator that leads to the ground floor below. The angle of depression from the top o

f the escalator to the floor is 39.81°, and the escalator is 15.5 feet long. How far is the top of the escalator from the ground floor? Round your answer to the nearest foot. 19 feet 38 feet 10 feet 12 feet

Mathematics
2 answers:
FrozenT [24]3 years ago
7 0
<h2>Answer:</h2>

The distance between the top of  the escalator from the ground floor is:

                                       12 feet

<h2>Step-by-step explanation:</h2>

It is given that:

The angle of depression from the top of the escalator to the floor is 39.81°, and the escalator is 15.5 feet long.

We know that:

Now, we can model this problem with the help of a right angled triangle such that the side adjacent to 39.81° is x feet and the hypotenuse is 15.5 feet.

Hence, on using the cosine trignometric ratio we have:

\cos 39.81\°=\dfrac{adjacent}{hypotenuse}\\\\i.e.\\\\\cos 39.81\°=\dfrac{x}{15.5}\\\\i.e.\\\\x=15.5\times \cos 39.81\°}\\\\i.e.\\\\x=15.5\times 0.7682\\\\i.e.\\\\x=11.9067\ feet

which to the nearest feet is:

                  x=12\ feet

BabaBlast [244]3 years ago
3 0

Answer:

12ft

Step-by-step explanation:

Behold, my crudely drawn diagram!!!

Edit: The red side is the hypotenuse/escalator length, the green side is adjacent to the angle/the escalator height, and the blue bits refer to the angle. Also it's supposed to be a right triangle but I forgot the little box we typically put in the corner to indicate the 90° angle.

Using some geometric knowledge of right triangles, we know that the Cosine of an angle is equal to the length of the adjacent side divided by the lenght of the hypotenuse. So:

Cos(39.81°) = h ÷ 15.5ft

*Here I've called the top of the escalator's height "h"*

By solving for h and plugging it into a calculator I get:

h = Cos(39.81°)•(15.5) = 11.906...

But they want it rounded to the nearest foot, so your answer is 12ft.

You might be interested in
A teepee is designed to have a diameter of 10 ft and a volume of 366ft³ what is the height? A.15ft , b.14 ft, c 5ft, or 1 ft
Katarina [22]

Answer:

B.  14 ft approx

Step-by-step explanation:

Given data

A teepee  has a conical shape

Diameter= 10ft

radius= 5 ft

Volume = 366ft³

Height = ????

The expression for the volume is

V= 1/3πr^2 h

substitute

366= 1/3*3.142*5^2*h

366= 1/3*78.55*h

366= 26.18h

h= 366/26.18

h=13.98 ft

h= 14 ft approx

Hence the Height is 14 ft approx

5 0
3 years ago
Read 2 more answers
Please answer this question right now ​
Westkost [7]

Answer:

6) c

7) d

Step-by-step explanation:

6) 25 + 15= 40

40+35=75

Php. 75

7) 29•3=87

150-87=63

Php. 63

Hope this helps!

6 0
3 years ago
If i make 1.5 million dollars per day, plus an extra 250k interest every 31 hours, how much money do i make per day?
lidiya [134]

Answer: Alot

Step-by-step explanation:

4 0
3 years ago
Find The Value Of X When 6-2x = 6x-10x+6. The Value Is
Natasha_Volkova [10]

Answer:

x = 0

Step-by-step explanation:

6 - 2x = 6x - 10x + 6

1. Isolate the variable (x)

  • Add 2x to both sides

    6 - 2x = 6x - 10x + 6 -> 6 = 6x - 10x + 2x + 6

  • Subtract 6 from both sides

    6x - 10x + 2x + 6 -> 0 = 6x - 10x + 2x

2. Combine like terms

      0 = 6x - 10x + 2x -> 0 = -2x

3. Solve

  • Divide both sides by -2

       0 = x

*Note: 0 divided by anything is 0 so 0/-2 is 0

(unless it is 0/0 which equals 1)

6 0
3 years ago
Mrs. Anderson wrote the statement. “Double three, then add ten to that product." Write a numerical expression.​
Ronch [10]

Answer:

Step-by-step explanation:

3x + 10??

8 0
3 years ago
Other questions:
  • Please someone answer asap
    7·1 answer
  • A triangle has height of 15 in. and area of 120 in^2. what is the length of the base?
    14·1 answer
  • Find the slope of line that passes through (5,6) and (7,9)
    6·1 answer
  • Kristen heard that it is 82° Fahrenheit outside. She knows that F=95C+32F=95C+32 where FF represents the temperature in degrees
    9·1 answer
  • A store pays a 6% commission on the first $500 in sales and and 8% on sales over $500. Find the commission on an $800 sale
    10·1 answer
  • The football team has a total of 50 jerseys. There are 15 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized j
    7·1 answer
  • Complete the problems. Check your answers in the back o
    7·1 answer
  • if the circumference of a circle measures 3π cm, what is the area of the circle in terms of π? A) 3 4 π cm2 b) 3 2 π cm2 c) 9 4
    14·2 answers
  • What is 3/4 as a unit fraction
    12·2 answers
  • Need help!!!!!!!!!!!!!!!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!