Question

Find the measure of angle A. Round your answer to the nearest hundredth.

59.00 degrees
49.40 degrees
40.60 degrees
31.00 degrees

Answer 1

The answer to your question is 40.60°

Explanation:

Data

Right triangle

Opposite side = 6

Adjacent side = 7

Process

1.- To find angle A, use trigonometric functions.

The trigonometric function that relates the opposite side and the adjacent side is tangent

tanA =
`(Opposite side)/(Adjacent side)`

2.- Substitution

tan A =
`(6)/(7)`

3.- Find tan⁻¹A

tan⁻¹ A = A = 40.60°