A man on a 10 m high deck of a ship sees the top of a lighthouse. The angle of elevation of the top is 60° and the angle of depression of the base of the lighthouse (at sea level) is 30°. Using the deck level as the reference, find the horizontal distance (in m) from the ship to the lighthouse.

Question

Accepted Answer

10 √3. Depression of base 30°: tan 30 = 10/d => d = 10 √3 m (the deck is 10 m above the base).

A man on a 10 m high deck of a ship sees the top of a lighthouse.
The angle of elevation of the top is 60° and the angle of depression of the base of the lighthouse (at sea level) is 30°.
Using the deck level as the reference, find the horizontal distance (in m) from the ship to the lighthouse.

Step-by-Step Solution

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More Class 10 Heights and Distances practice

A man on a 10 m high deck of a ship sees the top of a lighthouse.The angle of elevation of the top is 60° and the angle of depression of the base of the lighthouse (at sea level) is 30°.Using the deck level as the reference, find the horizontal distance (in m) from the ship to the lighthouse.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A man on a 10 m high deck of a ship sees the top of a lighthouse.
The angle of elevation of the top is 60° and the angle of depression of the base of the lighthouse (at sea level) is 30°.
Using the deck level as the reference, find the horizontal distance (in m) from the ship to the lighthouse.