Question

A painter leans a 12-foot ladder against a wall. The angle of elevation of the ladder is 55.

Answer 1

9.83cm

Explanation:

Since we are not asked what to look for. We can find the height of the wall.

Let the height of the wall be H

Given

Length of the ladder l = 12fot

Angle of elevation = 55degrees

Required

Height of wall H

Using the SOH CAH TOA identity

SIn theta = opp/hyp

Sin 55 = H/12

H - 12sin55

H = 12(0.8192)

H = 9.83cm

Hence the height of the ladder is 9.83cm