Solve the Problem $14 ^ { \circ }$ From Its Direction of Travel

question 386

Multiple Choice

Solve the problem.
-A ship sailing parallel to shore sights a lighthouse at an angle of $14 ^ { \circ }$ from its direction of travel. After traveling 4 miles farther, the angle is $24 ^ { \circ }$ . At that time, how far is the ship from the lighthouse? If necessary, round to the nearest hundredth of a mile.

• A) \(2.38 \mathrm { mi }\)
• B) \(9.37 \mathrm { mi }\)
• C) \(5.57 \mathrm { mi }\)
• D) \(4 \mathrm { mi }\)

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Definitions:

Tensor Fasciae Lata

A muscle of the thigh involved in stabilizing and moving the leg, and tightens the fascia around the thigh to aid in body movements.

Gluteus Maximus

The largest and outermost of the three gluteal muscles, involved in the movement of the hip and thigh.

Gluteus Medius

A muscle located on the outer surface of the ilium, involved in the rotation and abduction of the thigh.

Ball and Socket

A type of synovial joint that allows for movement in almost any direction, found in the shoulder and hip.