Question

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

Answer 1

Answer:

The correct answer option is 17.1°.

Step-by-step 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.

$tan A =\frac{perpendicular}{base}$

$tan A =\frac{4}{13} \\\\\A =tan^{-1}\frac{4}{13}\\\\\A = 17.1$

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

Answer 2

Answer:

B) θ = 17.1 degrees

Step-by-step 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.