Question

A 20-foot ladder is leaned against a wall. If the base of the ladder is 8 feet from the wall, how high up on the wall will the ladder reach? Round the answer to the nearest tenth.
Question options:

21.5 ft


18.3 ft


15.7 ft


19.1 ft

Answer 1

Answer:

$18.3\ ft$

Step-by-step explanation:

we know that

Applying the Pythagoras theorem

see the attached figure to better understand the problem

$h^{2}=20^{2}-8^{2} \\ \\ h^{2}=400-64\\h^{2}=336\\ \\h=\sqrt{336} \\ \\h=18.3\ ft$