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## Homework Statement

A ball is thrown at angles 45° and 30° above the horizontal with the same initial speed. What multiple of the horizontal range at angle 30° is that at angle 45°?

## Homework Equations

Trigonometry formula

## The Attempt at a Solution

I think that first step is to divide the initial speed into horizontal component and vertical component.

Let the initial speed be u

Horizontal speed of 30° angles : u x cos 30° = 1 / 2 u

Horizontal speed of 45° angles : u x cos 45° = √2 / 2 u

After this I'm not sure what to do next.. Since the question didn't provide time, I can't use the kinetic equation formula.

Can anyone give me a hint about what should I do next?