Answer:
Height of the cliff is 188 feet.
Step-by-step explanation:
Let us draw a diagram for the given situation.
In the diagram,
AB = cliff with base at B
C is the position of boat.
Hence, BC = 967.
∠C = 15°54' = 15.9°
In triangle ABC, we have
[tex]\tan C=\frac{AB}{BC}\\\\\tan 15.9=\frac{x}{967}\\\\x=967\tan 15.9\\\\x=188.01[/tex]
Hence, in nearest foot, the height of the cliff is 188 feet.
