Travis has a job cleaning out the gutters of houses for the summer.
He uses an extension ladder to reach the gutters.
The ladder leans diagonally against the side of the house while the gutters are being cleaned.
The base of the ladder is 8 feet away
from the house.
The top of the ladder reaches a point that is 31 feet up the side of the house.
a. Draw a figure representing this situation. What is the length of the ladder? Show work.

To find the length of the ladder, use the Pythagorean theorem by considering the ladder as the hypotenuse of a right triangle formed with the ground and the house. The length of the ladder is 33 feet.

Explanation:

To find the length of the ladder leaning against the house, we can use the Pythagorean theorem. Since the ladder forms a right triangle with the ground and the side of the house, the length of the ladder is the hypotenuse of the triangle. The formula is: length of ladder = square root ( (distance from house)^2 + (height of ladder)^2 ). Substituting in the given values, the length of the ladder is calculated to be 33 feet.

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