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Anastaziya [24]
2 years ago
14

24. Sam, Sonny and Sal are camping in their tents. If the distance between Sam and

Mathematics
2 answers:
AnnZ [28]2 years ago
6 0

Answer:

Step-by-step explanation:

kozerog [31]2 years ago
5 0

Answer:

b. 75°

Step-by-step explanation:

Draw a triangle. Write a person name and a point name (a letter) at each vertex: Sam A, Sonny B, and Sal C at the vertices.

Write the distances as AB = c = 153 ft; AC = b = 201 ft; BC = a = 175 ft.

We are looking for angle B.

Since we have a triangle with three side lengths and no angle measures, we use the Law of Cosines.

b^2 = a^2 + c^2 - 2ac \cos B

201^2 = 175^2 + 153^2 - 2(175)(153) \cos B

40401 = 30635 + 23409 - 53550 \cos B

-53550 \cos B = -13643

\cos B = \dfrac{-13643}{-53550}

\cos B = 0.254771242

B = \cos^{-1} 0.254771242

B = 75^\circ

Answer: b. 75°

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