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11 April, 02:33

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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  1. 11 April, 02:44
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    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.
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