Question

use the inverse of tangent ratio to find the approximate measure of the missing angle. round your answer to the nearest whole degree (1 point)

Explanation:

Step1: Recall tangent - ratio formula

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, the opposite side to angle $\theta$ is $2$ cm and the adjacent side is $5$ cm. So, $\tan\theta=\frac{2}{5}$.

Step2: Use inverse tangent

We want to find $\theta$, so $\theta = \tan^{- 1}(\frac{2}{5})$.

Step3: Calculate the value

Using a calculator, $\tan^{-1}(\frac{2}{5})\approx21.8^{\circ}$.

Step4: Round to the nearest whole degree

Rounding $21.8^{\circ}$ to the nearest whole degree gives $22^{\circ}$.

Answer:

$22$