0000 A.
asked • 12/11/21Solve the following problems.
A ship is sailing due north. At a certain point, the captain of the ship notices a lighthouse 12.5 km away from the ship, at the bearing of N 38.0° E. Later on, the bearing of the lighthouse becomes S 44.2° E. In meters, how far did the ship travel between the two observations of the lighthouse?
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1 Expert Answer
Yefim S. answered • 12/11/21
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Math Tutor with Experience
Engle between this 2 directions: 180° - (38° + 44.2°) = 97.8°.
By sine Law: x/sin97.8° = 12.5/sin44.2˜; x = 12.5sin97.8°/sin44.2° = 17.639 km
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Mark M.
Incorrect use of the word bearing. Bearing is always measured from true north. You provide compass readings.12/11/21