Question

clue #4
what is the value of x to the nearest tenth?
a 95.9
c 51.0
b 23.9
d 21.1

Explanation:

Step1: Identify trigonometric ratio

We have a right triangle, with adjacent side to the 62° angle equal to 45, and $x$ is the hypotenuse. Use cosine: $\cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$

Step2: Substitute known values

$\cos(62^\circ)=\frac{45}{x}$

Step3: Rearrange to solve for $x$

$x=\frac{45}{\cos(62^\circ)}$

Step4: Calculate the value

$\cos(62^\circ)\approx0.4695$, so $x\approx\frac{45}{0.4695}\approx95.9$

Answer:

A. 95.9