If the tree is of height h and at distance d, then
(150-h)/d = tan 50°
h/d = tan 22°
Now you have two equations in two unknowns, so just solve them.
From the foot of a building I have to look upwards at an angle of 22° to sight the top
of a tree. From the top of a building, 150 meters above ground level, I have to look
down at an angle of depression of 50° to look at the top of the tree.
a. How tall is the tree?
b. How far from the building is the tree?
1 answer
2 answers