Question

QUE

The angle of depression of a banana from the monkey on the tree
25m high is 560. Calculate the distance of the banana from the
foot of the tree
and ton xamples of each​

Answer 1

9514 1404 393

Answer:

16.9 m

Explanation:

Angle BMT in the attached diagram is the complement of the angle of depression, so is 90° -56° = 34°. The distance BT is the side of the triangle opposite this angle, and the given tree height TM = 25 is the side of the triangle adjacent to the angle. Then the relevant trig relation is ...

Tan = Opposite/Adjacent

Opposite = Adjacent × Tan

BT = (25 m)·tan(34°) ≈ 16.863 m

The banana is about 16.9 meters from the tree.