Question

find the measure of angle x. round your answer to the nearest hundredth (please type the numerical answer only) numerical answers expected answer for blank 1:

Explanation:

Step1: Identify the trigonometric ratio

We know that in a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. For angle $x$, the opposite side is 8 and the adjacent side is 15. So, $\tan x=\frac{8}{15}$.

Step2: Find the angle

We use the inverse - tangent function, $x = \tan^{- 1}(\frac{8}{15})$. Using a calculator, $x=\tan^{-1}(\frac{8}{15})\approx28.07^{\circ}$.

Answer:

28.07