If the distance between the cliff and the boat is 400 feet. Then the height of the cliff will be 186.52 feet.
What is a right-angle triangle?
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The angle of elevation to the top of a cliff is 25 degrees from a boat on the lake.
If the distance between the cliff and the boat is 400 feet.
Then the height of the cliff will be
Let x be the height of the cliff. Then we have
tan θ = height of cliff/ distance between cliff and boat
tan 25° = x/400
x = 400 tan 25°
x = 186.52 feet
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