Question

1. A boat is 15 ft away from a point perpendicular to the shoreline. A person stands at a point down the shorelineso that a 65° angle is formed between the closest point to the boat, the person, and the boat. How far is theperson from the boat? Round your answer to the nearest tenth of a foot. Show your work.boatd15 ft65°person

Answer 1

Given: 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.

Required: To find out how far is the person from the boat.

Explanation: Using the diagram we can find out the value of trigonometric ratio sin as-

`sin65\degree=(15)/(d)`

where d is the distance of her e d id the distance . theperson from the boat

`\begin{gathered} d=(15)/(0.9063) \\ d=16.55\text{ ft} \end{gathered}`

Final Answer: