Question

Find the value of each variable Round your answers to the nearest tenth.

Answer 1

Explanation:

Since this is a right triangle we will use trig identites and ratios to solve. x first. The side opposite the reference angle of 22 degrees is 6, and the hypotenuse is x. The trig ratio that uses the side opposite over the hypotenuse is the sin ratio:

`sin22=(6)/(x)` and

`x=(6)/(sin22)` so

x = 16.01

Now for y. y is adjacent to the reference angle, and the trig ratio that uses the side opposite over the side adjacent is the tangent ratio:

`tan22=(6)/(y)` and

`y=(6)/(tan22)` so

y = 14.85

Not sure where your rounding needs to be; that part of the instructions is cut off.