Question

Find the measure of the angle marked with a guestion mark using inverse trig

functions. Round your answer to the nearest degree, Enter the number only,

Answer 1

37°

Explanation:

1. Label the sides: the hypotenuse (the longest, slanted side) is 5 and the adjacent is 4. This means that we are using cosine (CAH)

2. Write out the equation: cosine or cos (?) = adjacent ÷ hypotenuse

3. Substitute in the values: cos (?) = 4 ÷ 5

4. Simplify: cos (?) = 0.8

5. Type this into a calculator to find ?:
`cos^(-1)(0.8)`

? = 36.86989... ≈ 37°

Hope this helps!