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The angle of depression from a lighthouse to a boat in the water is 14° if the boat is 532 feet from the base of the light house what is the height of the lighthouse?

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carlosego
To solve this exercise, you must follow the proccedure below:

 1. You have:

 Tan(α)=Opposite/Adjacent

 α is the angle of depression (α=14°).
 Adjacent=532 feet
 Opposite=x

 2. When you substitute these values into Tan(α)=Opposite/Adjacent, you obtain:

 Tan(α)=Opposite/Adjacent
 Tan(14°)=x/532

 3. Now, you must clear "x", as below:

 x=(532)(Tan(14°))
 x=132.64 feet

 What is the height of the lighthouse?

 The answer is: The height of the house is 132.64 feet
 

Answer is B) 132.6 feet

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