Solve the Problem $15 ^ { \circ } 57 ^ { \prime }$

question 288

Multiple Choice

Solve the problem.
-A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed the angle of depression to the boat is $15 ^ { \circ } 57 ^ { \prime }$ . When the boat stops, the angle of depression is $55 ^ { \circ } 5 ^ { \prime }$ . The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.

• A) \(560.18 \mathrm { ft }\)
• B) \(605.38 \mathrm { ft }\)
• C) \(544.88 \mathrm { ft }\)
• D) \(582.68 \mathrm { ft }\)

---

Definitions:

Intravenous Antibiotic

A medication administered through the veins to treat bacterial infections.

Immunization

The process of making a person immune or resistant to an infectious disease, typically by the administration of a vaccine.

Toddler

A young child, typically between the ages of 1 and 3 years old, who is learning to walk and develop basic motor skills.

Intramuscular Injection

The administration of medication deep into the muscles, allowing for faster absorption into the bloodstream than subcutaneous injections.