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.

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.

Steve · Answer

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

Henry · Answer

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.