some applications of trignometry

sin 75 = Height/Length of the leg.

Length of a leg = 1.5/sin 75

sin 75 = sin (30+45) = sin 30 cos 45 + sin 45 cos 30 = 1/22 + 3/22 = (1+3)/22

Length of a leg = 1.5/(1+3)/22 = 32/(1+3) = 1.55 m

We need to put two steps, so that they divide the total length in 3 equal parts, so height/3 = 1.5/3 = 1/2 = 0.5.

Length of the top step required = 0.5 + 2x,

where x = 0.5/tan 75 = 0.13.

Length of the top step = 0.76 m

Similarly length of second step = 0.5 + 2/tan 75 = 1.04 m

Regards,

Team,

TopperLearning.