A ball is projected at an angle of 30^(@...

A ball is projected at an angle of `30^(@)` above with the horizontal from the top of a tower and strikes the ground in 5s at an angle of `45^(@)` with the horizontal. Find the height of the tower and the speed with which it was projected.

`50(sqrt3-1)ms^(-1)`

`50(sqrt2-1)ms^(-1)`

`70(sqrt3-1)ms^(-1)`

`80(sqrt3-1)ms^(-1)`

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