Question

find the measure of the indicated angle to the nearest degree I'll mark you brainliest with the one with the correct answer ​

Answer 1

Answer:

$14^{\circ}$

Step-by-step explanation:

In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side.

Let the angle we want to find be $\theta$. $\theta$'s opposite side is 8 and its adjacent side is 33.

Therefore, we have the following equation:

$\tan \theta=\frac{8}{33}$

Take the inverse tangent of both sides:

$\arctan(\tan \theta)=\arctan(\frac{8}{33})$

Simplify using $\arctan(\tan \theta)=\theta \text{ for } \theta \in (-90^{\circ}, 90^{\circ})$:

$\theta=\arctan(\frac{8}{33}),\\\theta =13.62699486\approx \boxed{14^{\circ}}$