Answer to Question #99937 in Trigonometry for j

Question

A ladder leaning against a wall makes a 35° angle with the ground. The foot of the ladder is 5 meters from the wall. What is the length of ladder? (to the nearest tenth)

Answer 1

L = length of the ladder;

K = distance between wall and the foot of the ladder;

a = angle between ladder and the ground

cos(a) = K/L,

L=K/cos(a),

L=K/cos(35°),

L=5/cos(35°),

L=6.1 m.