posted by Joseph .
From the top of a mountain 150 feet high, Jessie stands at the safety rail on the edge and looks below. The angle of elevation from his bike on the ground to Jessie is 38 degrees, how far is Jessie from his bike.Please help me to set this up
Draw a figure with a right angle triangle connecting Jessie, his bike and the base of the cliff.
38 degrees = arcsin 150/X,
where X is the distance you seek. (It is the hypotenuse of that triangle).
Solve that equation for X
sin38 = 150/X is one way to do it.
sin 38 = .6157
.6157 = 150/x
150/.6157 = 243.6