# angle

1.) From the top of a lighthouse
52 metres high,the angles of depression of two ships due north of it are 42 and 37. How far apart are the ships ?

1. 👍 0
2. 👎 0
3. 👁 734
1. distance of closer ship = 57 - tan42 = 63.3 m
distance of farther ship from lighthouse = 57/tan 37 = 75.6 m

so distance between 2 ships = 75.6-63.3 = 12.3 m

The ships re 63 and 75 m away from the lighthouse ????
TOTALLY UNREALISTIC QUESTION !

1. 👍 0
2. 👎 3

## Similar Questions

1. ### trig

The captain of a ship at sea sights a lighthouse which is 120 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 19 ^\circ. How far is the ship from the base of the lighthouse?

2. ### trig

From the top of a tower of height 75m, a man sees two goats, both due west of him. If the angles of depression of the two goats are 10 degrees and 17 degrees, calculate the distance between them. It wants the angle of depression.

3. ### maths

From the top of a cliff 150m high, the angles of depression of two boats are 60 and 30. Find the distance between the boats if they are on the opposite sides of the cliff.

4. ### Precalculus

1. A man stands 12 feet from a statue. The angle of elevation from the eye level to the top of the statue is 30 degrees, and the angle of depression to the base of the statue is 15. How tall in the statue? 2. Two boats lie on a

1. ### Trigonometry

An observer in a lighthouse 350 feet above sea level observes two ships directly offshore. The angles of depression to the ships are 4° and 6.5°. How far apart are the ships?

2. ### Pre-Calculus

The angle of depression from the top of a 75 ft. lighthouse to a ship out in the ocean is 40*. How far out is the ship from the lighthouse? I've been stuck on this problem for an hour, I know the answer but don't know how to set

3. ### Mathematics

The captain of a ship at sea sights a lighthouse which is 300 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 21∘ How far is the ship from the base of the lighthouse? ___ feet

4. ### Math

From the top of a 200 metres high building, the angle of depression to the bottom of a second building is 20°. From the same point, the angle of elevation to the top of the second building is 10°. Calculate the height of the

1. ### Trigonometry

Angle of Depression Find the angle of depression from the top of the lighthouse 250 feet above water level to the water line of a ship 2.5 miles offshore.

2. ### Calculus

The captain of a ship at sea sights a lighthouse which is 260 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 21. How far is the ship from the base of the lighthouse?

3. ### Pre Calc

from the top of a 250 ft lighthouse the angle of depression to a ship in the ocean is 18 degrees. how far is the ship from the base of the light house?

4. ### math

from the top of a vertical mast 150m high,two huts on the same ground level are observed. One due east and the other due west of the mast. Their angles of depression are 60° and 45° respectively. Find the distance between the