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.

Question

Mathematics

Junior Bates

13 September, 06:46

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.

+1

Answers (1)

Know the Answer?

Skye Contreras · 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

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 is59.04 degrees, and the length of the ladder is __inches.

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.