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

Answer:

A. 32.08

Step-by-step 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:

$Cos(\theta) = \frac{Adjacent}{Hypotenuse}$

Plug in the values

$Cos(58) = \frac{17}{x}$

Multiply both sides by x

$Cos(58) \times x = \frac{17}{x} \times x$

$Cos(58) \times x = 17$

Divide both sides by Cos(58)

$\frac{Cos(58) \times x}{Cos(58)} = \frac{17}{Cos(58)}$

$x = \frac{17}{Cos(58)}$

$x = 32.08$ (2 d.p)