Question

If you place a 20 ft ladder 4ft from the base of the wall. How high up will it reach? Round answer to the nearest tenth

Answer 1

Answer:

h = 19.6 ft

Step-by-step explanation:

Given that,

A 20 ft ladder 4ft from the base of the wall.

The height of the ladder, H = 20 ft

The base distance, b = 4 ft

We need to find the height of the reach. Let it is P.

Using Pythagoras theorem,

$H^2=b^2+P^2\\\\P=\sqrt{H^2-b^2}\\\\P=\sqrt{20^2-4^2}\\\\=19.59\ ft$

or

P = 19.6 ft

So, the height is 19.6 ft.