Answer:
58sin22.5 = ABOUT 2.22
=how high up he is. sine is opposite side over hypotenuse. 58 is the hypotenuse, so h x o/h = o = how high up he is
Step-by-step explanation:
o = hsin22.5 = 58sin22.5 = 58(.38258) = 22.5 feet high. (it's sort of a coincidence that the height and angle have the same numerical value.
use a calculator for sin22.5 or use the half angle formula
sin(x/2) = sqr((1-cosx)/2) as you may know cos45 = sqr2/2 = about 1.414/2 = 0.707
the 45 degree right triangle is so common, many people just know the sin45=cos45=sqr2/2
sin(22.5) = sin(45/2) = sqr((1-0.707)/2) = sqr(.293/2) = sqr(.1465) = about 0.38
