SOLUTION: A bicycle race follows a triangular course. The three sides of the race are 7km, 24km and 25km. What is the approximate measure of the angle opposite to

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Question 1194669: A bicycle race follows a triangular course. The three sides of the race are 7km, 24km and 25km. What is the approximate measure of the angle opposite to side 7 km?
Answer by ikleyn(52775) About Me  (Show Source):
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A bicycle race follows a triangular course.
The three sides of the race are 7km, 24km and 25km.
What is the approximate measure of the angle opposite to side 7 km?
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Use the cosine rule

    cos(of the angle "a" opposite to side 7 km) = %2824%5E2+%2B+25%5E2+-+7%5E2%29%2F%282%2A24%2A25%29 = 0.96.


    Angle a = arccos(0.96) = 0.2838 radians = 16.26 degrees.    ANSWER

Solved.