If a 13-foot ladder makes a 58 angle with the ground, how many feet up a wall will it reach? Round your answer to the nearest tenth.

11.02 = a, rounded to the nearest 10th

Step-by-step explanation:

The length of the ladder (13 ft) forms the hypotenuse of the triangle when leaned against the house. The distance the ladder goes up the wall is the side opposite to the angle we are working with, so we can use the sine function to solve.

Sin X = (opposite side) / (hypotenuse)

Sin 58 = a/13

13 (Sin 58) = a

11.02462525 = a

11.02 = a, rounded to the nearest 10th