Question

Find the measure of the indicated angle to the nearest degree.^can someone explain?

Answer 1

Answer:

60 degrees

Explanation:

In the diagram:

• The side length opposite the indicated angle = 29

,

• The side length adjacent to the indicated angle = 17

Let the indicated angle = x

Applying trigonometric ratios:

$\begin{gathered} \tan x=\frac{\text{Opposite}}{\text{Adjacent}} \\ \tan x=\frac{29}{17} \\ x=\arctan \mleft(\frac{29}{17}\mright) \\ x=59.6\degree \\ x\approx60\degree \end{gathered}$

The indicated angle is 60 degrees correct to the nearest degree.