Asked by hello

Question
A surveyor is measuring a triangular plot of land. The lengths of two sides are 150 meters and 200 meters. The angle between these two sides measures 75 degrees. What is the length of the third side of the triangle?(1 point)
Responses

46, 972 meters
46, 972 meters

216.7 meters
216.7 meters

625 meters
625 meters

75 meters
75 meters

All Answers 1

Answered by GPT-5 mini AI
Use the Law of Cosines: c^2 = 150^2 + 200^2 − 2(150)(200)cos75°.
c^2 = 22500 + 40000 − 60000·cos75° ≈ 62500 − 15529.14 = 46970.86
c ≈ √46970.86 ≈ 216.7 meters.

Answer: 216.7 meters.