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nadezda [96]
3 years ago
11

You are building a ramp that must cover a horizontal distance of exactly 17 feet. The angle of the ramp from the ground is 24°.

Determine the length of the ramp, in feet.
Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

Length of the ramp = 18.6 feet (Approx.)

Step-by-step explanation:

Given:

Horizontal distance (base distance) = 17 feet

Angle of elevation = 24°

Find:

Length of the ramp

Computation:

Cosθ = Length of base / Length of hypotenuse

Cos 24 = Horizontal distance (base distance) / Length of the ramp

Cos 24 = 17 / Length of the ramp

0.9135 = 17 / Length of the ramp

Length of the ramp = 17 / 0.9135

Length of the ramp = 18.6 feet (Approx.)

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