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jenyasd209 [6]
3 years ago
8

In ΔUVW, the measure of ∠W=90°, the measure of ∠U=19°, and WU = 85 feet. Find the length of VW to the nearest tenth of a foot.

Mathematics
2 answers:
HACTEHA [7]3 years ago
8 0

Answer:

29.3feet

Step-by-step explanation:

In ΔUVW, the measure of ∠W=90°, the measure of ∠U=19°, and WU = 85 feet. Find the length of VW to the nearest tenth of a foot.

From the triangle given

<W = 90 degrees

<U = 19 degrees

<V = 180 - (90+19)

<V = 180 - 109

<V = 71 degrees

Using SOH CAH TOA

tan theta = opp/adj

tan <V = WU/VW

tan 71 = 85/VW

VW = 85/tan 71

VW = 85/2.9042

VW = 29.27

Hence the length of VW to the tenth of a foot is 29.3feet

raketka [301]3 years ago
4 0

29.3 is in fact the correct answer

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