Question

12'49AWhat is the measure of angle A?70.53 degrees0.33 degrees18.43 degrees19.47 degreesPrevious

Answer 1

This question can be solved by applying the trigonometry ratio principle (SOHCAHTOA)

Step 1: State the given

Opposite side = 4

Hypotenuse side = 12

Step 2: State the trigonometry ratio that will be used to solve for angle A.

`\sin A=\frac{\text{opposite side}}{hypotenuse\text{ side}}`

Step 3: Substitute the given into the ratio and solve for A.

`\begin{gathered} \sin A=(4)/(12) \\ \sin A=0.33333 \\ A=\sin ^(-1)(0.33333) \end{gathered}`
`A=19.47\text{ degrees}`

The answer is D.