Question

A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the ladder with the ground is

59.04 degrees, and the length of the ladder is __
inches.

Answer 1

applying trigonometry

base= 30inches

height= 50inches

angle between ladder and ground = 59.04°

for the length of the ladder...

sin59.04 = opposite side ÷ hypotenuse

sin59. 04 = 50inches ÷ hypotenuse

0.8575 = 50 inches ÷ hypotenuse

cross multiply;

hypotenuse = 50inches ÷ 0.8575

the length of the ladder = 58.309inches