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You and your friend are standing on the baseline of a
basketball court. You bounce a basketball to your friend, as shown in the diagram. What is the
distance between you and your friend? Round your answer to the nearest tenth.

You And Your Friend Are Standing On The Baseline Of A Basketball Court You Bounce A Basketball To Your Friend As Shown In The Diagram What Is The Distance Betwe class=

Sagot :

The distance between you and your friend rounded  to the nearest tenth is 10.7 feet.

How to find the length of a triangle using cosine rule?

The distance between you and your friend can be found using cosine rule.

Therefore,

c²  =a² + b² - 2ab cos C

Therefore,

let

x = distance between him and his friend

x² = 7² + 6² - 2 × 7 × 6 cos 110°

x² = 49 + 36 - 84 × -0.34202014332

x² = 49 + 36 + 28.7296920394

x² = 113.729692039

x = √113.729692039

x = 10.6644124076

x = 10.7 ft

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