Question

A 60 foot ladder needs to reach a window that is 47 feet off the ground. How far away, to the nearest foot, from the building should the base of the ladder be placed?

A 5 feet
В 13 feet
C 37 feet
D 81 feet

Answer 1

The answer is 37 feet.

Answer 2

Hello! :)

`\large\boxed{\text{C. 37 Feet}}`

To solve for the distance from the building, we can use the Pythagorean theorem where:

c = length of ladder (Hypotenuse)

a = height of window

b = distance from building

Plug in the given values into the equation c² = a² + b²

60² = 47² + b²

Simplify:

3600 = 2209 + b²

Subtract both sides by 2209:

1391 = b²

Square root both sides:

b = √1391 ≈37.296. The correct answer is C.