A body's angle of depression from the top of a 77-meter high tower is . Given that both the body
and the tower's base are located on the same horizontal level, determine the distance between the body and the tower's base to the nearest
In the following figure, is a right-angled triangle at .
The distance between the body and the tower's base is equal to
. Also, since and are parallel
line segments cut by transversal , the measure of
is equal to . This means that in the figure above, . Use a
calculator to determine the approximate length of as shown:
Thus, the distance between the tower and the body's base to the nearest metre is 154 metres.