Question

As observed from the top of a 75 m high lighthouse from the sea - level, the angle of depression of two ships are 30° and 45°. If one side is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.


Useless answer will be reported. ​

Answer 1

height = 75m base for angle 30° is x

tan 30° = 75/x

1/√3 = 75/ x

x = 75√3m......eqn (1)

tan 45° = 75/a (base = a)

1 = 75/a

a = 75m

x - a

= 75√3 - 75

= 75(√3 - 1)m

distance between two ships

Answer 2

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