SOLUTION: a lumberjack standing at 50 ft from a tree measures a 3 degree angle of depression to the base of the tree and a 23 degree angle of elevation to the top of the tree. determine the

Question 1112226: a lumberjack standing at 50 ft from a tree measures a 3 degree angle of depression to the base of the tree and a 23 degree angle of elevation to the top of the tree. determine the height of the tree (to the nearest tenth of a foot).
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
x + y = height of tree
:
tan(23) = x/50
:
x = tan(23) * 50 = 21.2237
:
tan(3) = y/50
:
y = tan(3) * 50 = 2.6204
:
x + y = 2.6204 +21.2237 = 23.8441 approximately 23.8 feet
:

RELATED QUESTIONS
A lumberjack determines that the angle of inclination from point A to the top of a tree... (answered by ankor@dixie-net.com)

Suppose you climb a tree to a point of 125 ft above the ground. you look down from the... (answered by Cromlix)

a man stands on a tree 150cm high and sees a boats at an angle of depression of 7400... (answered by josgarithmetic,stuylin)

At a point on the ground 70 ft from the base of a tree, the distance to the top of the... (answered by stanbon)

At a point on the ground 35 ft from the base of a tree, the distance to the top of the... (answered by nerdybill)

At a point on the ground 12 ft from the base of the tree, the distance to the top of the... (answered by stanbon)

A ranger's tower is located 44 meter from a tall tree. From the top of the tower, the... (answered by josgarithmetic)

Ann is pulling on a 60-foot rope attached to the top of a 48-foot tree while Walter is... (answered by checkley71)

Anne is pulling on a 60-foot rope attached to the top of a 48-foot tree while Walter is... (answered by orca)