Question

A golfer needs to know how tall a tree is to chip a ball over the tree onto the green in a golf match. his caddie knows that he is 10 feet from the tree and has an angle of elevation of 52°. what is the height of the tree to the nearest whole number?

Answer 1

The height of the trre will be given by:
tan θ=(opposite)/(adjacent)

θ=52°
Adjacent= distance of the golfer to the tree= 10 ft
opposite = height, h, of the tree
thus
tan 52=h/10
hence solving for h we get:
h=10tan52
h=12.799~12.8 ft