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Andrews [41]
3 years ago
6

A triangular plot of land has one side along a straight road measuring 183 feet. A second side makes a 68° angle with the road,

and the third side makes a 31° angle with the road. How long are the other two sides? The longer side of the triangular plot is feet. The shorter side of the triangular plot is feet. (Round to the nearest hundredth as needed.)
Mathematics
1 answer:
natita [175]3 years ago
3 0

Answer:

L = 171.79 ft

S = 95.43 ft

Step-by-step explanation:

ASA is a good triangle to solve with law of sines.

The third angle is 180 - 68 - 31 = 81°

183 / sin81 = L/sin68 → L = 171.78966...

183 / sin81 = S/sin31 → S = 95.42683...

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