Question

Solve for a. Round to the nearest tenth, if necessary.
B
56
x
22°
D

Answer 1

`x \approx 60.4`

Explanation:

We can solve for x using the trigonometric ratio cosine:

`\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}`

↓ plugging in the given values

`\cos(22\°) = (56)/(x)`

↓ taking the reciprocal of (flipping) both sides

`(1)/(\cos(22\°)) = (x)/(56)`

↓ multiplying both sides by 56

`(56)/(\cos(22\°)) = x`

↓ plugging into a calculator

`\boxed{x \approx 60.4}`