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What is measure of angle A?

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

What is measure of angle A Enter your answer as a decimal in the box Round only your final answer to the nearest hundredth class=

Respuesta :

calculista

Answer:

The measure of the angle A is [tex]53.13\°[/tex]

Step-by-step 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

[tex]tan(A)=\frac{BC}{AB}[/tex]

substitute

[tex]tan(A)=\frac{4}{3}[/tex]

[tex]<A=arctan(\frac{4}{3})=53.13\°[/tex]