A 12 foot ladder is leaning against a house. The bottom of the ladder is 3 ft from the house. How high does the top of the ladder reach? Round to the nearest tenth.

Question

asked Aug 26, 2022 148k views

1 Answer

Malina · Answer 1 · 2022-09-01T06:56:00+0000

Answer:

h = 11.61 foot

Explanation:

Given that,

The length of a ladder, l = 12 foot

The bottom of the ladder is 3 ft from the house.

We need to find how high does the top of the ladder reach. Let it is h. The length of the ladder will be the hypotenuse. 3 ft will be the base. So,

$12^2=3^2+h^2\\\\h^2=144-9\\\\h=11.61\ \text{foot}$

So, the top of the ladder is at a height of
$11.61\ \text{foot}$ .