An observer on the top of a lighthouse observes the angles of depression of two ship at anchor to be 75 and 45 respectively. Fin
d the distance between the two ships if the line joining them points to the base of the light house which is 100 meters high. (use tan 15 = 0.27) Answer should be 73 meter.
1 answer:
Answer:
Distance between two ships = 73 units
Step-by-step explanation:
Note:
tangent = opposite / hypotenuse
Referring to diagram,
Distance of ship A from tower = 100 tan(90-45) = 100 units
Distance of ship B from tower = 100 tan(90-75) = 100 tan (27) = 27 units
Distance between two ships = 100-27 = 73 units
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