A projectile has a range of 60 m and can reach a maximum height of 15 m. Calculate the angle at which projectile is fired? ( g = 10m/s2 )

The angle the projectile was fired is

Explanation:

Recall the formulas for maximum height and ranges for a projectile fired with initial velocity "v" at an angle :

we can use them to solve for the angle by first isolating the value which is common in both equations:

and now, making those to expressions equal and using the formula for the sine of a double angle, we get:

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