In ΔVWX, the measure of ∠X=90°, the measure of ∠W=31°, and XV = 8.4 feet. Find the length of WX to the nearest tenth of a foot.

The length of WX is 14.0 feet.

Step-by-step explanation:

Consider the right angled triangle VXW below.

According to the trigonometry identities for a right angled triangle the tangent of an angle is the ration of the perpendicular height to the base length.

In this case the measure of angle θ is 31°.

The perpendicular is, XV = 8.4 feet.

The base is, WX.

Compute the value of WX as follows:

Thus, the length of WX is 14.0 feet.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.