A projectile is launched from the ground at an angle of thetaθ above the horizontal with an initial speed of v in​ ft/s. The range​ (the total distance traveled by the projectile over level​ ground) of the projectile is approximated by the equation x = v^2/32 sin 2 theta. Find the launch angle of a projectile with an initial speed of150​ft/s and a range of 170 ft. I get 8 degrees but not the second value.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Analytic Trigonometry
Section2.1: Using Fundamental Identities
Problem 67E
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A projectile is launched from the ground at an angle of

thetaθ

above the horizontal with an initial speed of v in​ ft/s. The range​ (the total distance traveled by the projectile over level​ ground) of the projectile is approximated by the equation x = v^2/32 sin 2 theta.

Find the launch angle of a projectile with an initial speed of150​ft/s

and a range of 170 ft.

I get 8 degrees but not the second value.

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