Hi! please help me with this question I need held as soon as possible :) A boat is 15 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 65° angle is formed between the closest point to the boat, the person, and the boat. How far is the person from the boat? Round your answer to the nearest tenth of a foot. Show your work.

Distance of the person from the boat is 23.1 feet.

Step-by-step explanation:

We have,

The distance of the boat from the shoreline = 20 feet.

Angle between the boat and the person = 60°

So, we get the right triangle as shown in the figure.

As, in a right triangle, the angles and sides can be written in trigonometric form.

Thus, sin A Perpendicular Hypotenuse

i.e. sin 60 20

i.e. 0.866 20

i.e. x = 20 0.866

i.e. x = 23.1 feet.

Thus, the distance of the person from the boat is 23.1 feet.

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