Question

I find the measure of the angle in degrees to this triangle

Answer 1

Answer:

29.74 degrees

Explanation:

The trigonometric function tangent relates the opposite side to the adjacent side of a right triangle. Then, we can write the following equation

$\begin{gathered} \tan x=\frac{Opposite\text{ side}}{Adjacent\text{ side}} \\ \tan x=\frac{4}{7} \\ \tan x=0.5714 \end{gathered}$

Where x is the measure of the angle. Now, we can use the inverse function of the tangent to find

$\begin{gathered} x=\tan ^{-1}(0.5714) \\ x=29.74\text{ degrees} \end{gathered}$

Therefore, the answer is 29.74 degrees.