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

5.

Step-by-step 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 = (h)/(D)`

`\tan \theta = (15)/(3)`

`tan \theta = 5`

`m = 5`

Hence, slope of the ladder is equal to 5.