The bearing of an object is the angle of its position to a reference point. Thus, the bearing of the buoy to the boat is 117°.
<h3>What is speed?</h3>
The speed of an object is defined as the rate of distance covered to the time taken.
speed = Distance / time
Thus, the first distance covered is given by:
Distance covered = speed x time taken
= 12 km/h x 2 h
= 24 km
The second distance covered is given as:
Distance covered = speed x time taken
= 16 km/h x 1 h
= 16 km
Applying the Cosine rule to determine the distance from the boat to buoy, we have:
c² = a² + b² - 2abCos C
= ( 16 )² + ( 24 )² -2(16)(24)Cos110
= 256 + 576 - 768(-0.3420)
= 832 + 262.656
= 1094.656
c² = 1094.656
c= √1094.656
c = 33.10 Km
Apply the Sine rule to determine the angle at the stopping point of the boat;
Sin B =
B = 43.11°
The angle made at the stopping point to the buoy is 43.11° .
So that,The bearing of the buoy from the boat = 180 - 3 = 117°
Therefore the bearing of an object is the angle of its position to a reference point. Thus, the bearing of the buoy to the boat is 117°.
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