Answer:
h = 31.46 m
Step-by-step explanation:
We have,
Initial speed of a projectile is 37.7 m/s
It was projected at an angle of 41.2° above the horizontal on a long flat firing range.
It is required to find the maximum height reached by the projectile. The formula used to find it is given by :

Plugging all the known values,

So, the maximum height reached by the projectile is 31.46 m.