In ΔUVW, the measure of ∠W=90°, the measure of ∠U=15°, and VW = 81 feet. Find the length of WU to the nearest tenth of a foot.

The length of WU is 302.3 feet.

Explanation:

By Geometry we know that sum of internal angles of a triangle equals 180º, then the measure of angle V is:

(1)

Please notice that segment VW is opposite to angle U and segment WU is opposite to angle V, then we use Law of Sine to calculate the value of the latter segment. All sides are measured in feet:

(2)

If we know that , and , then the length of segment WU is:

The length of WU is 302.3 feet.

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