Question

A landscaper sights the top of a tree at a 68 degree angle.she then moves an additional 70 feet directly away from the tree and sights the top at a 43 degree angle.how tall is the tree to the nearest tenth of a foot.

Answer 1

as always draw the diagram. If you review your basic trig functions, you will see that h (in feet) can be found using

h cot43° - h cot68° = 70

Answer 2

h = d*Tan68 = (d+70)*Tan43,
d*Tan68 = (d+70)*Tan43,
d = (d+70)*0.38,
d = 0.38d + 26.6,
d = 42.9 Ft., A = 68o.
h = d*Tan68.