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astra-53 [7]
1 year ago
10

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 36.84°, and the escalator is 15 feet long. how far is the top of the escalator from the ground floor? round your answer to the nearest foot. 9 feet 12 feet 20 feet 36 feet
Mathematics
1 answer:
a_sh-v [17]1 year ago
5 0

The top of the escalator exists 9 feet far from the ground floor.

<h3>How to estimate how far is the top of the escalator from the ground floor? </h3>

Let h denote the distance between the top of the escalator from the ground floor.

We have existed given that the angle of depression from the top of the escalator to the floor stands 36.84°, and the escalator exists 15 feet long.

The side h exists opposite side and 15 feet side exists hypotenuse of a right triangle.

$&\sin =\frac{\text { Opposite }}{\text { Hypotenuse }} \\

$&\sin \left(36.84^{\circ}\right)=\frac{h}{15} \\

$&\sin \left(36.84^{\circ}\right) * 15=\frac{h}{15} * 15 \\

$&0.599582468446 * 15=h \\

8.993737 = h

$&h \approx 9

Therefore, the top of the escalator exists 9 feet far from the ground floor.

To learn more about the sides of a triangle refer to:

brainly.com/question/22562250

#SPJ4

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Answer:

Tyler currently does 40 squats

Step-by-step explanation:

Tyler does squats and pushups.

<u>Currently:</u>

Number of pushups = 25

Number of squats = x

Total number = 25 + x

<u>After increase:</u>

Number of pishups =25\cdot (1+0.2)=1.2\cdot 25=30

Number of squats =x\cdot (1+0.2)=1.2x

Total number =30+1.2x

If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now, thus

(30+1.2x)-(25+x)=13\\ \\30+1.2x-25-x=13\\ \\1.2x-x=13-30+25\\ \\0.2x=8\\ \\2x=80\\ \\x=40

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3 years ago
What is the 6th row of Pascal's triangle?
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3 years ago
A helicopter is flying above a town. the local high school is directly to the east of the helicopter at a 20° angle of depressio
guapka [62]
Answer: 4.5 miles

Explanation:

When you draw the situation you find two triangles.

1) Triangle to the east of the helicopter

a) elevation angle from the high school to the helicopter = depression angle from the helicopter to the high school = 20°

b) hypotensue = distance between the high school and the helicopter

c) opposite-leg to angle 20° = heigth of the helicopter

d) adyacent leg to the angle 20° = horizontal distance between the high school and the helicopter = x

2) triangle to the west of the helicopter

a) elevation angle from elementary school to the helicopter = depression angle from helicopter to the elementary school = 62°

b)  distance between the helicopter and the elementary school = hypotenuse

c) opposite-leg to angle 62° = height of the helicopter

d) adyacent-leg to angle 62° = horizontal distance between the elementary school and the helicopter = 5 - x

3) tangent ratios

a) triangle with the helicpoter and the high school

tan 20° = Height / x ⇒ height = x tan 20°

b) triangle with the helicopter and the elementary school

tan 62° = Height / (5 - x) ⇒ height = (5 - x) tan 62°

c) equal the height from both triangles:

x tan 20° = (5 - x) tan 62°

x tan 20° = 5 tan 62° - x tan 62°

x tan 20° + x tan 62° = 5 tan 62°

x  (tan 20° + tan 62°) = 5 tan 62°

⇒ x = 5 tant 62° / ( tan 20° + tan 62°)

⇒ x = 4,19 miles

=> height = x tan 20° = 4,19 tan 20° = 1,525 miles

4) Calculate the hypotenuse of this triangle:

hipotenuese ² = x² + height ² = (4.19)² + (1.525)² = 19.88 miles²

hipotenuse = 4.46 miles

Rounded to the nearest tenth = 4.5 miles

That is the distance between the helicopter and the high school.
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Answer:

Step-by-step explanation:

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