Question

Instructions: Find the measure of the indicated angle to the nearest degree.
?

Answer 1

14

Explanation:

We can solve for either x or y first, but we will choose to solve for x first. The side with length of 8 is opposite the angle x and the side with length of 33 is adjacent. Since we have opposite and adjacent sides, we will use the tangent ratio.

tan(x)= opposite/adjacent

tan(x)= 8/33

To find the measure of angle x, we will use the inverse tan function.

x=tan⁻¹(8/33)= 14

Answer 2

? = 14

Explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan ? = 8/33

Taking the inverse tan of each side

tan ^-1 ( tan ?) = tan ^-1 ( 8/33)

? =13.62699

To the nearest degree

? = 14