In ΔTUV, the measure of ∠V=90°, the measure of ∠U=43°, and VT = 88 feet. Find the length of UV to the nearest tenth of a foot.

Question

Mathematics

Krista Madden

27 June, 13:23

In ΔTUV, the measure of ∠V=90°, the measure of ∠U=43°, and VT = 88 feet. Find the length of UV to the nearest tenth of a foot.

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Dillon Cuevas · Answer 1

Given that ΔTUV is a right triangle. The measure of ∠V=90°, the measure of ∠U=55°, and VT = 82 feet.

We need to determine the length of TU.

Length of TU:

The length of TU can be determined using the trigonometric ratio.

Thus, we have;

where, and

Substituting the values, we get;

Simplifying, we get;

Rounding off to the nearest tenth, we get;

Thus, the length of TU is 100.1 feet.