Tricky Dynamics Kinematics Trajectory Problem

[icefisherman]

Homework Statement

A football player attempts a 29-yd field goal. If he is able to impart a velocity u of 95 ft/sec to the ball, compute the minimum angle θ for which the ball will clear the crossbar of the goal. The crossbar is 10 ft above the ground. (Hint: Let m = tan θ.)

Homework Equations

I can't find and equation for minimum angle anywhere, which makes me think I have to combine two equations to be able to solve this. I've messed with equations on here, http://hyperphysics.phy-astr.gsu.edu/hbase/traj.html#tracon for hours and I can't figure out what equations I need to combine to get a minimum angle.

The Attempt at a Solution

I know my range is 87 feet, and the height that i want to clear is 10 feet at the end of my range, kicking the field goal at the smallest initial angle possible. Velocity is 95 ft/s

Any help on this is appreciated, it may simply be one of those problems where the solution seems too easy so it is overlooked?

 

[cupid.callin]

well draw figure and you'll understand that range is not 29 yd
question says that when x= 29 yd ... y should be 10 ft

 

[verty]

I've had a look at this question, it was by no means easy. Here's a hint: the formula for the height of the ball versus time must have real roots.