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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

Respuesta :

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-

[tex]sin65\degree=\frac{15}{d}[/tex]

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

[tex]\begin{gathered} d=\frac{15}{0.9063} \\ d=16.55\text{ ft} \end{gathered}[/tex]

Final Answer:

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