Why does 60° give three times the height but same range as 30°?

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Homework Statement


Prove that a gun will shoot three times as high wehn its angle of elevation is 60deg as when it is 30deg but will carry the same horizontal distance.



Homework Equations


s=(Vo +Vf)/2 * t
x=Vo*costheta *t

The Attempt at a Solution



AFter simplifying the equation i get:

y=0.25tan30x
y=0.25tan60x

is this correct?
 

Discussion

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The equations are right but you haven't shown that the range of the two angles are the same... or the height at 60 is 3 times the height at 30.

you've related the range to the height for each situation... but you haven't related range to range.. and height to height.