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Answer:
Height of the cliff = 13.66 m
Step-by-step explanation:
Let the height of the cliff is 'x' m and distance between the base of the cliff and the boat is 'y' m.
From right triangle AOC,
tan 30° =
y = ------(1)
From right angle triangle BOC,
tan 45° =
x = y - 10
y = x + 10 -------(2)
From equations (1) and (2),
x = 13.66 m
Therefore, height of the cliff is 13.66 m.