a man is standing on the deck of a ship 25m above water level he observes an angle of the top of a lighthouse as 60degree and angle of depression of the base as 45degree calculate height of lighthouse
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25(√3 + 1) meters
Step-by-step explanation:
Let AB represents the light house ( A shows its top ), BC represents the sea level and D represents the POSITION OF THE MAM
In triangle DCB,
⇒ ED= 25 meters,
Now, in triangle DAE,
Hence, the height of lighthouse, AB = AE + EB = 25√3 + 25 = 25(√3 + 1) meters
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