Question

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.

Answer 1

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}`.