Johnny is building a ramp to his front door, which is 4.3 feet off the ground. He wants the angle of elevation of the ramp to be 2 degrees. How long will his ramp be?

Question

Johnny is building a ramp to his front door, which is 4.3 feet off the ground.  He wants the angle of elevation of the ramp to be 2 degrees.  How long will his ramp be?

R_scott · Answer

length = 4.3 ft / sin(2º)

bobpursley · Answer

4.3/ramp=sin2 deg now using the small angle approximation sin2 deg=(2/360) *2PI= 0.034906585 ramp=4.3/.035=123 feet check my calculations