Question

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Answer 1

Therefore the measure of∠ A is 60.07.

Explanation:

Given:

In Right Angle Triangle ABC

∠ B = 90°

BC = 13 ....Side opposite to angle A

AC = 15 .... Hypotenuse

To Find:

m∠A = ?

Solution:

In Right Angle Triangle ABC ,Sine Identity,

`\sin A = \frac{\textrm{side opposite to angle A}}{Hypotenuse}\\`

Substituting the values we get

`\sin A = (BC)/(AC)=(13)/(15)=0.8666\\\\A=\sin^(-1)(0.8666)=60.065\\\\m\angle A=60.07\°`

Therefore the measure of∠ A is 60.07