A car travels 1.9 miles from Point A to Point B. The car then turns at Point B and travels 1 mile to Point C, before heading back to Point A. The distance from Point C to Point A is 1.4 miles. If the car's path is represented by a triangle, what degree of turn did the car make, at Point B?

QUESTION POSTED AT 01/06/2020 - 03:56 PM

Answered by admin AT 01/06/2020 - 03:56 PM

If you represent the problem in a diagram, you will form a triangle with 3 known length of the sides. When you are given all sides, and you are asked to find an angle, you can use the cosine law.

b^2 = a^2 + c^2 - 2ac*cosB
1.4^2 = 1.9^2 + 1^2 - 2(1.9*1)(cosB)
B = 45.78°

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