A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?

Use the function y=13cos (theta) to find the answer

Question

Mathematics

Emmanuel Buckley

6 October, 15:51

A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?

Use the function y=13cos (theta) to find the answer

+4

Answers (1)

Know the Answer?

Jovany Ho · Answer 1

9.19ft

Step-by-step explanation:

The set up given will form a right angled triangle with the length of the ladder as the hypotenuse and distance between the the floor and the top of the ladder as the adjacent side to one of the acute angle 45 degrees.

Using one of the trigonometry identity to calculate How high off the ground the top of the ladder. According CAH;

cos 45° = Adjacent/Hypotenuse

cos45° = y/13

y = 13cos45°

y = 9.19ft

The ladder is 9.19ft off the ground

A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?Use the function y=13cos (theta) to find the answer

A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?

Use the function y=13cos (theta) to find the answer