Question

Find the angle measure below, round to the nearest defree

Answer 1

We are given a right-angled triangle.

As you can see from the given triangle,

With respect to the missing angle, the opposite side is 10 and the adjacent side 14

Recall from the trigonometric ratios,

$\tan \theta=\frac{\text{opposite}}{\text{adjacent}}$

For the given case,

Opposite = 10

Adjacent = 14

Let us substitute these values into the above ratio and solve for the missing angle.

$\begin{gathered} \tan \theta=\frac{\text{opposite}}{\text{adjacent}} \\ \tan \theta=\frac{10}{14} \\ \theta=\tan ^{-1}(\frac{10}{14}) \\ \theta=35.54\degree \\ \theta=36\degree\quad (\text{rounded to the nearest degree)} \end{gathered}$

Therefore, the missing angle is 36°