Question

Find the angle A using the given right triangle. Round off the results according to the table below.

Answer 1

A = 24.1°

Step-by-step explanation:

The side of length 16.8 is the opposite side of A and the side of length 37.6 is the adjacent side of A. Using the trigonometric function tangent, we get

`\begin{gathered} \tan A=(Opposite)/(Adjacent) \\ \tan A=(16.8)/(37.6) \\ \tan A=0.4468 \end{gathered}`

Then, we can solve for A, so

`\begin{gathered} A=\tan^(-1)(0.4468) \\ A=24.1 \end{gathered}`

Where we type the angle A with 3 significant digits because the measure of the angle is to the nearest 0.1°.

Therefore, the answer

A = 24.1°