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Help with this question

Help with this question-example-1
User Katalin
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1 Answer

13 votes
13 votes

Answer:

AB ≈ 1.8 ft . . . . . ramp height

BC ≈ 29.9 ft . . . distance along the ground

Explanation:

a)

The 30-ft length in the diagram is the hypotenuse of the right triangle. The vertical height of interest is the side of the triangle opposite the given angle. That means the relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(3.5°) = AB/(30 ft)

Multiplying by 30 ft gives ...

AB = (30 ft)sin(3.5°) ≈ 1.831 ft

AB ≈ 1.8 ft

__

b)

The distance along the ground is the side adjacent to the angle, so the relevant trig relation is ...

Cos = Adjacent/Hypotenuse

BC = (30 ft)cos(3.5°) ≈ 29.944 ft

BC ≈ 29.9 ft

User Godsmith
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