The **distance between point A and point B is 371 ft **if the Mason measures an angle of depression to the boat at point A to be 16°.

<h3>What is trigonometry?</h3>

**Trigonometry **is a branch of **mathematics **that deals with the **relationship **between sides and angles of a **right-angle triangle.**

** **

We have:

A boat is heading towards a lighthouse, where Mason is watching from a vertical distance of 122 feet above the water. Mason measures an angle of depression to the boat at point A to be 16°.

We can draw the above situation as a form of a right-angle triangle.

**From the figure, the distance between AB is x ft**

From the right angle triangle DBC:

tan66 = 122/CB

**CB = 54.31 ft**

From the right angle triangle DAC

tan16 = 122/AC

**AC = 425.46 ft**

**x = AC - CB**

x = 425.46 - 54.31

**x = 371.15 ft ≈ 371 ft**

Thus, the **distance between point A and point B is 371 ft **if the Mason measures an angle of depression to the boat at point A to be 16°.

Learn more about **trigonometry** here:

brainly.com/question/26719838

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