Question

Given: c= 11 and b=5 Then the m Round to the nearest degree. Enter a number answer only.

Answer 1

62.9643082106 degrees

Explanation:

First, notice that triangle ABC is a right triangle. This allows us to use SIN, COS, and TAN to find the measure of angle A. Recall SOH CAH TOA, so SIN = OPPOSITE / HYPOTENUSE, COS = ADJACENT / HYPOTENUSE, and TAN = OPPOSITE / ADJACENT.

Looking at angle A, sides c and b correspond to hypotenuse and adjacent respectively. Therefore, we can use COS to set up an equation.

cos(A) = b/c

cos(A) = 5/11

A = arccos(5/11)

A = 62.9643082106 deg