Question

Solve for x. Round your answer to 2 decimal places. (See image)

A. 32.08
B. 14.42
C. 9.01
D. 20.05

Answer 1

A. 32.08

Explanation:

The figure given is a right triangle. We would apply trigonometric ratios formula to find x.

Reference angle = 58°

Hypotenuse = x

Adjacent length = 17

Thus, we would apply the following:

`Cos(\theta) = (Adjacent)/(Hypotenuse)`

Plug in the values

`Cos(58) = (17)/(x)`

Multiply both sides by x

`Cos(58) * x = (17)/(x) * x`

`Cos(58) * x = 17`

Divide both sides by Cos(58)

`(Cos(58) * x)/(Cos(58)) = (17)/(Cos(58))`

`x = (17)/(Cos(58))`

`x = 32.08` (2 d.p)