The distance between a boat and a cliff is 129 feet.
Trigonometry
The trigonometric functions are used to determine the distance and angle in real-life situations.
How to find the distance between a boat and a cliff using trigonometry?
Consider the following diagram.
Let the distance between a boat and a cliff be [tex]x[/tex].
[tex]tan25^{o}=\frac{40}{x}[/tex]
[tex]x=\frac{35+25}{tan25}[/tex]
[tex]x=\frac{60}{0.4663}[/tex]
[tex]x=128.67[/tex]
Therefore, the distance between a boat and a cliff is 129 feet.
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