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

Answer:
? = 14
Step-by-step 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
Answer:
14
Step-by-step 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