Question

Mr. jones needs to clean out the gutters on his house. the gutters are 12 feet high 11 mr. jones places the ladder 3 feet from the

base of the house, how long must the ladder be so that mr. jones can reach the gutters? round your answer to the nearest tenth
if necessary

Answer 1

Okay, let's solve this step-by-step:

* The gutters are 12 feet high

* The ladder is placed 3 feet from the base of the house

* We want to know how long the ladder must be

To solve this, we'll use the Pythagorean Theorem. Since the ladder forms a right triangle with the house and ground, we have:

ladder length^2 = (12 feet)^2 + (3 feet)^2

Solving for ladder length:

ladder length = sqrt(12^2 + 3^2) = sqrt(144 + 9) = sqrt(153)

= 12.4 feet

Rounding to the nearest tenth, the ladder must be at least 12.4 feet long for Mr. Jones to reach the gutters.