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How long is an escalator if it forms an angle of 45° with the ground and has a vertical rise of 12 m? Estimate your answer to the nearest meter. *

17 m

12 m

21 m

18 m
​

Sagot :

Kidsmakesmehappyidn

The length of escalator is 35 meters.

Step-by-step explanation:

Given:

Vertical rise of elevator: 6 meters  (opposite of the angle)

Angle of elevation: 10°

Length of escalator: x  (hypotenuse)

The length and vertical rise of elevator and the distance between its foot and base of vertical rise along the ground form a right triangle.

Use trigonometric functions to solve for x, the length of elevator:

Sin θ = opposite/hypotenuse

Find the length of elevator, x:

Sin 10° = 6 meters/x

x = (6 meters) / (Sin 10°)

x = (6 meters) / (0.1736)

x ≈ 34.56 meters

x ≈ 35 meters

The length of escalator is 35 meters.

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Seanleo25idn

21 m

Hope it helps
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