From The Top Of A Lighthouse 29.5 M High The Angle Of Depression Of A Obserber To A Boat Is 28.5\Xb0. How Far Is The Boat From The Lighthouse?

From the top of a lighthouse 29.5 m high the angle of depression of a obserber to a boat is 28.5°. How far is the boat from the lighthouse?

Answer:

The answer to this problem is 54.33 m.

Step-by-step explanation:

This problem is best illustrated in the photo attached below.

Let x = distance of boat to the light house

Using the angle of depression and the height of the light house, we can solve for x.

The solution goes like this

Worthy Note: Please make sure that your calculator is in Degrees mode before you perform the calculations.

$tan(28.5) = \frac{29.5m}{x}\\ x = \frac{29.5m}{tan(28.5)}\\ x = 54.33 m$

If you want to know more about angles of elevation and depression, you may visit the following links:

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