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lesya [120]
1 year ago
10

Determine the measure of the indicated angle in the following triangle:

Mathematics
1 answer:
devlian [24]1 year ago
3 0

Answer:

Θ ≈ 58°

Step-by-step explanation:

using the Cosine Rule in the triangle

cosΘ = \frac{80^2+60^2-70^2}{2(80)(60)} = \frac{64000+3600-4900}{9600} = \frac{5100}{9600} = \frac{51}{96} , then

Θ = cos^{-1} ( \frac{51}{96} ) ≈ 58° ( to the nearest degree )

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