Question

A ladder is placed against a wall. The foot of the ladder is 3
feet away from the wall and the top of the ladder hits the wall
15 feet off the ground. What is the slope of the ladder?​

Answer 1

Answer:

5.

Explanation:

Given,

Top of the ladder that hits the wall, h = 15 ft

Distance of the bottom of ladder from the wall, D = 3 ft

Slope of the ladder,m = ?

$m = \tan \theta$

$\tan \theta = \dfrac{h}{D}$

$\tan \theta = \dfrac{15}{3}$

$tan \theta = 5$

$m = 5$

Hence, slope of the ladder is equal to 5.