Question

In ΔVWX, the measure of ∠X=90°, VX = 35, XW = 12, and WV = 37. What is the value of the cosine of ∠W to the nearest hundredth?

Answer 1

Given:

Given that VWX is a right triangle.

The measure of ∠X is 90°

The length of VX = 35, XW = 12, and WV = 37.

We need to determine the value of cosine of ∠W.

Value of cosine of ∠W:

The value of cosine of ∠W can be determined using the trigonometric ratio.

Thus, we have;

$cos \ W=\frac{adj}{hyp}$

Substituting $\theta=W$, the side adjacent to W is XW and hypotenuse is WV

Thus, we get;

$cos \ W=\frac{XW}{VW}$

Substituting XW = 12 and WV = 37, we have;

$cos \ W=\frac{12}{37}$

$cos \ W=0.324$

     $W=cos ^{-1}(0.324)$

     $W=71.09^{\circ}$

Thus, the value of cosine of ∠W is 71.09°

Answer 2

Answer:

Cosine W = 0.32

Step-by-step explanation:

Adj/Hypo = 12/37 = 0.3243 = 0.32