Question

How far up the house would a ladder be resting if it is 25 ft long and 3 ft

away from the house? Round to the nearest tenth if necessary.
5.3 ft
21 ft
24.8 ft
25.2 ft

Answer 1

C

Explanation:

The last one is absurd. You can't have a ladder reaching higher than itself. The question is a Pythagorean problem.

Givens

a = 3

b = ?

c = 25 feet

Formula

a^2 + b^2 = c^2

Solution

3^2 + b^2 = 25^2

9 + b^2 = 625 Subtract 9 from both sides.

b^2 = 625 - 9

b^2 = 616 Take the square root of both sides.

b = sqrt(616)

b = 24.8