Answer:
23.09 feet.
Step-by-step explanation:
Please find the attachment.
Let x be the distance between the person and the boat.
We have been given that a boat is 20 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 60° angle is formed between the closest point to the boat, the person, and the boat.
We can see from our attachment that the boat, shoreline and position of person forms a right triangle, where side with 20 feet length is opposite side and x is hypotenuse for our given angle.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to find the value of x.
Upon substituting our given values in above formula we will get,
Therefore, the person is 23.09 feet away from the boat.
