ABC represents a race path. Find the total distance of the race. Round your answer to the nearest meter.
1 answer:
Answer:
Race covers 1911 meters.
Step-by-step explanation:
Triangle ABC represents a race path.
Total distance covered by the race = Perimeter of the triangle ABC
We will apply Sine rule in the given triangle to find the unknown sides.
By Sine rule,

[Since m∠A = 180° - (85 + 60)° = 35°]

AC = 
= 781.57 meters

AB = 
= 679.44 meters
Perimeter of the triangle = AB + BC + AC
= 679.44 + 450 + 781.57
= 1911.01
≈ 1911 meters
Therefore, the race covers 1911 meters.
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