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A 20 foot ladder is leaned against a wall. The top of the ladder leans fifteen feet above the ground on the wall. What is the angle formed by the base of the ladder and the ground
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A 20 foot ladder is leaned against a wall. The top of the ladder leans fifteen feet above the ground on the wall. What is the angle formed by the base of the ladder and the ground

User Jens Jansson
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4.6k points

1 Answer

2 votes

Answer:

48.6°

Explanation:

The relation between the side of a right triangle opposite the angle, the hypotenuse, and the angle is given by ...

Sin = Opposite/Hypotenuse

sin(angle) = (15 ft)/(20 ft)

angle = arcsin(15/20) ≈ 48.6°

The angle with the ground at the base of the ladder is about 48.6°.

User Merott
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