To find: The distance and bearing from the Corpus Christi port to the boat.
The distance from the Corpus Christi port to the boat is approximately 42.43 knots and the bearing is
Given information:
Given, the Coast Guard cutter Angelica travels at 30 knots from its home port of Corpus Christi on a course of 95° for 2 hr and then changes to a course of 185° for 2 hr.
Calculation:
Considering that the boat travels at same speed, the distance between point B and C is 30 knots and the distance between B and A is 30 knots as well.
In a triangle when two sides are equal, then the opposite angles are equal i.e.,
The triangle representing the data is:
Using definitions of trigonometric functions for the triangle ABC:
The distance from the Corpus Christi port to the boat is approximately 42.43 knots.
The bearing from the Corpus Christi port to the boat is given by:
Conclusion:
The distance from the Corpus Christi port to the boat is approximately 42.43 knots and the bearing is
Chapter 4 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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