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In ΔUVW, w = 5.3 inches, v = 3.6 inches and ∠V=32°. Find all possible values of ∠W, to the nearest 10th of a degree. Answer: 51.3∘ and 128.7∘ DeltaMath

2 Answers

2 votes

Answer:

128.7

Explanation:

deltamath

User Crisboot
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1 vote

Answer:

Answer: 51.3∘ and 128.7∘

Explanation:

In ΔUVW, w = 5.3 inches, v = 3.6 inches and ∠V=32°. Find all possible values of ∠W, to the nearest 10th of a degree.

We solve the above question using sine rule formula. This is given as:

w/sin W = v/sin V

w = 5.3 inches

v = 3.6 inches

∠V=32°.

5.3/sin W = 3.6/sin 32

Cross Multiply

sin W × 3.6 = 5.5 × sin 32

sin W = 5.5 × sin 32/3.6

W = arc sin (5.5 × sin 32/3.6)

W = 51.28° or 128.72°

Approximately

= 51.3° or 128.7°

User Priceline
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