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den301095 [7]
3 years ago
8

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.

Mathematics
1 answer:
frozen [14]3 years ago
7 0

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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