Question

What is the value of z in the triangle ? Enter your answer in the box . Round your final answer to the nearest hundredth.

Answer 1

32.97 inches

Explanation:

Given

• 27 in. is the length one of the legs

Solving

• cosine function gives the ratio of the adjacent side of the angle and the hypotenuse
• Take cos35°
• cos35° = 0.819
• cos35° = 27/z
• ⇒ 27/z = 0.819
• ⇒ z = 27/0.819
• ⇒ z = 32.97 inches