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To find the length ab of a small lake, a surrounding veyor measured angle acb to 96, ac to be 91 yards, and bc to be 71 yards. what is the approximate length of the lake?

Respuesta :

msoufyp7o3bl
Using the law of Cosins that states: For any triangle, a, b and c are sides and C is the angle opposite side c
c² = a² + b² − 2ab cos(C)

Applying this in our problem, we get:
 AB²= 71²+91²- 2x91x71 cos96
AB²=14627.7 yard²
AB=121 yard
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