Question

Find the measurement of angle A (round to the nearest tenth)

Answer 1

The correct answer option is 17.1°.

Explanation:

We are given a right angled triangle with two known side lengths of perpendicular and base with respect to the unknown angle A for which we have to find the measure.

For that, we can use the formula of tan which by using the two given side lengths.

`tan A =(perpendicular)/(base)`

`tan A =(4)/(13) \\\\\A =tan^(-1)(4)/(13)\\\\\A = 17.1`

Therefore, the measure of the angle A is 17.1°.

Answer 2

B) θ = 17.1 degrees

Explanation:

Here we have to use the tan ratio to find the answer.

tan = Opposite / Adjacent

Given: Opposite = 4, Adjacent = 13

tan θ = 4/13

θ = tan^-1 (4/13)

θ = 17.1 degrees

Answer: B) 17.1 degrees

Thank you.