Question

An 18-feet ladder is leaning against the side of a building. The angle between the ladder and the ground is 30°.

How high up on the building, from the ground, is the top of the ladder?

Answer 1

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Answer:

9 feet

Explanation:

The sine relation applies.

Sin = Opposite/Hypotenuse

sin(30°) = height/(18 ft)

height = (18 ft)sin(30°) = (18 ft)(1/2)

height = 9 ft

The ladder extends 9 feet up the side of the building.