What is the speed of an athlete landing in a long jump with known range, angle, and height?

[zman2011]

Homework Statement

During a high school track meet, an athlete performing the long jump runs and leaps at an angle of 25 degrees and lands in a sand pit 8.5 m from his launching point. If the launch point and landing point are at the same height, y=0m, with what apeed does the athlete land?

Homework Equations

The Attempt at a Solution

How do i use range formula to find initial velocity

 

[lewando]

The range formula is kind of specialized to give you range if you know V, θ, and y(0). Since you know range, θ, and y(0) you could isolate v, I suppose. The algebra looks painful too me. I'd rather find v using standard kinematic equations for x-axis motion and y-axis motion--2 equations, 2 unknowns (v and T).