Solve the problem.
-Island A is 150 miles from island B. A ship captain travels 250 miles from island A and then finds that he is off course and 160 miles from island B. What angle, in degrees, must he turn through to head straight for island B?
Round the answer to two decimal places. (Hint: Be careful to properly identify which angle is the turning
Angle.)
A) 145.08°
B) 110.17°
C) 55.08°
D) 34.92°

Question

Quizplus · Accepted Answer

The turning angle is the angle between the original course and the new course. The original course is the line from island A to island B, and the new course is the line from the ship's current position to island B. The distance from island A to island B is 150 miles, and the distance from the ship's current position to island B is 160 miles. The distance from the ship's current position to island A is 250 miles.Using the Law of Cosines, we can find the angle between the original course and the new course:cos(angle) = (150^2 + 160^2 - 250^2) / (2 * 150 * 160)cos(angle) = 0.9397angle = 145.08°Therefore, the ship captain must turn through an angle of 145.08° to head straight for island B.

Solve the Problem. -Island a Is 150 Miles from Island B. a Ship