The angle of depression of a boat at sea from a 100 foot lighthouse is 20 degrees. find the distance to the boat.
not sure how to solve this..

As per the statement:

The angle of depression of a boat at sea from a 100 foot lighthouse is 20 degrees.

We draw the figure for this problem as shown below:

Height of the lighthouse(BC) = 100 foot

Angle of depression = 20 degrees.

Since, angle of depression is equal to the angles of elevation

i.e,

using tangent ratio:

Here,

Opposite side = BC = 100 foot

Adjacent side = AB

Angle of elevation:

Substitute these to solve for AB:

or

Simplify:

AB = 294.375362123 foot

Therefore, the distance to the boat approximately is 294.4 foot

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