Question

Find the measure of the indicated angle to the nearest degree.

which option would be correct?

Answer 1

Answer: C) 17°

Explanation:

We can use a trigonometric function to help us solve. From the given angle (?), we have the opposite side (6) and the adjacent side (20). This means we will utilize the tangent function. The tangent function is tanθ =
`(opposite)/(adjacent)`.

Given:

tanθ =
`(opposite)/(adjacent)`

Substitute:

tan? =
`(6)/(20)`

Inverse tangent of both sides of the equation:

`tan^(-1)(tan?)=((6)/(20) )tan^(-1)`

`?=((6)/(20) )tan^(-1)`

Simplify:

? = 16.699244° ≈ 17°

C) 17°