Answered: When throwing an object, the distance…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.3: Trigonometric Functions Of Real Numbers

Problem 43E

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Question

When throwing an object, the distance achieved depends on its initial velocity, v0, and the angle above the horizontal at which the object is thrown, θ. The distance, d, in feet, that describes the range covered is given by d = v₀2 sin θ cos θ/16, where v₀ is measured in feet per second.

Solve, You and your friend are throwing a baseball back and forth. If you throw the ball with an initial velocity of v₀ = 90 feet per second, at what angle of elevation, θ, to the nearest degree, should you direct your throw so that it can be easily caught by your friend located 200 feet away?

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