From 70 feet away from the base of a tree on level ground, the angle to the top of a tree is 60⁰. What is the height of the tree? What is the approximate distance from the vantage point to the top of the tree, to one decimal point? (Assume that the tree is perpendicular to the ground.)

Answer 1

sketch a right-angled triangle with the given information.
height/70 = tan 60°
height = 70tan60 = appr 121.2 ft

for distance to top of tree:
cos 60° = 70/hypotenuse
hypotenuse = 70/cos60 = 140.0 ft

Answer 2

14.0