Answer:
220m
Explanation:
The horizontal distance from the cliff to the ship is 300m.
The top of the cliff is at an angle of 45° and the top of the hotel is at an angle of 60°. To find the height of the hotel we need to subtract the total height of hotel + cliff and the height of the cliff. We use the following procedure:
tan45° = Height of cliff (opp.) / distance of ship from cliff (adj.)
tan45° = x/300 -> x=tan45°*300 = 300m
Now,
tan60°=Height of hotel+cliff (opp.) / distance of ship from cliff (adj.)
tan60°=x'/300 -> x'=519.62m
To get the height of the hotel,
Height of hotel = Height of hotel+cliff - Height of cliff
Therefore,
Height of hotel = 519.62-300 = 219.62 ≈ 220m