Question

AAP4C

Applications of Trigonometry
1. A ladder that is 10 feet long is leaning against a wall at a 71° angle.
a. How far from the wall is the foot of the ladder?
b. How high up the wall does the ladder reach?​

Answer 1

cosine 71° = distance from wall / 10

A) distance from wall = cosine (71) *10

distance from wall = 3.2557 feet

B) Height up the wall ^2 = 10^2 - 3.2557^2

Height up the wall ^2 = 100 -10.59958

Height up the wall ^2 = 89.40041751

Height up the wall = 9.45518 feet

Explanation: