Question

In a conversion from military to peacetime use, a missile with a maximum horizontal range of 170 is being adapted for studying the upper atmosphere. What is the maximum altitude it can achieve if launched vertically?
170 what? inches? furlongs? light years?

Maximum horizontal range (which is achieved when fired at 45 degrees) is Vo^2/g

Maximum vertical height (achieved when fired straight up) is
Vo^2/(2*g)

Vo is the launch velocity.

You figure it out.
Whoever posted the answer to this problem is a moron. Yes, the launch angle in the horizontal direction is 45, but that is not the equation for the Max vertical distance.

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