A projectile is launched at a certain angle. After 4 seconds, it hits the top of a building 500 meter away. The height of the building is 50 meters. The projectile was launched at an angle of :

A) 14°
B) 21°
C) 37°
D) 76°
E) 85°

This question is from sats physics practice questions. The thing is I'm not allowed to use a calculator so how am I suppose to figure this out without a calculator. Suppose I know the formula and everything to do it. How do I figure the sine and cosine part without a calculator?

Question

A projectile is launched at a certain angle. After 4 seconds, it hits the top of a building 500 meter away. The height of the building is 50 meters. The projectile was launched at an angle of :

A) 14°
B) 21°
C) 37°
D) 76°
E) 85°

This question is from sats physics practice questions. The thing is I'm not allowed to use a calculator so how am I suppose to figure this out without a calculator. Suppose I know the formula and everything to do it. How do I figure the sine and cosine part without a calculator?

noelgreco · Answer

You can figure the horizontal and vertical velocity vectors, and rule out answers c through e.

I can't believe they'd want you to use a half-angle formula to eliminate b