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VashaNatasha [74]
4 years ago
13

Use the Law of Sines to find the missing angle of the triangle.

Mathematics
1 answer:
Pie4 years ago
6 0
Answer: option B. 42.8°

Explanation:


1) Law of sines

sinA / a = sinB / B = sinC / c

2) You know c = 16, a, = 17 and A = 73°, so you can find C:

sinC / c = sinA / a ⇒ sinC = sinA × c / a = sin(73°) × 16 / 17 = 0.900

⇒C = arcsin(0.900) = 64.16°

3)  Since the sum of the 3 angles is 180°, you calculate B as:

B = 180° - A - C = 180° - 73° - 64.16° = 42.84°




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