Answer:
28.4 degrees
Step-by-step explanation:
In the diagram attached
Height of the cliff, AB=54 m
Distance of the raft to the base of the cliff, AC=100m
We want to determine the angle of depression from the top of the cliff to the raft. This is angle OBA.
[tex]\angle OBA = \angle BAC $ (Alternate Angles)\\Therefore, in the right triangle ABC\\\tan A =\dfrac{BC}{AC}\\ \tan A =\dfrac{54}{100}\\\tan A =0.54\\A=\arctan 0.54\\A=28.4^\circ$ (to the nearest tenth)[/tex]
The angle of depression from the top of the cliff to the raft is 28.4 degrees correct to the nearest tenth.
