Question

What is measure of angle A?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answer 1

The measure of the angle A is
`53.13\°`

Explanation:

we know that

In the right triangle ABC

The tangent of angle A is equal to the opposite side to the angle A divided by the adjacent side to angle A

so

`tan(A)=(BC)/(AB)`

substitute

`tan(A)=(4)/(3)`

`<A=arctan((4)/(3))=53.13\°`