# maths

posted by .

a person observed from the top of a light house which is 80 m above the sea level that angle of depression of two ships are 45 degree and 60 degree.
The two ships are on same side of the light house.They are in the line with the foot of the light house.find the distance between the two ships

• maths -

If the near ship is at distance x and the far ship at distance y,

x/80 = cot60°
y/80 = cot45°

The ships are y-x apart.

y-x = 80(1-1/√3) = 33.8m

not very far apart, eh? And both are about ready to crash into the shore!

These ridiculous scenarios bug me. If we're working with such small distances, don't involve ships at sea! Otherwise, say the angles are 12° and 9° or something that will put the ships far away from shore!

• maths -

thank u so much

## Similar Questions

1. ### geometry

the pilot of a plane flying 2000 meters above sea level observes two ships in line due east of the plane. the angles of depression of the line of sight of the pilot to the two ships are 42 degrees and 30 degrees. how far apart are …
2. ### math

an observer in a lighthouse 300 ft above sea level observes 2 ships directly offshore. The angles of depression to the ships are 3 degrees and 4.5 degrees. How far apart are the two ships?
3. ### 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?
4. ### Trigonometry

An observer on a cliff 1000 dm above sea level sights two ships due east. the angles of depression of the ships are 44o and 32o. Find the distance between the ships.
5. ### math

from a height of 40 m above sea level, two ships are traveling due west. the angles of depression are 45 degrees and 60 degrees. how far apart are the ships?
6. ### math

From the top of a light house the angle of incidence of the two ships are 45&30 degree respectively if both the ships are at a distance 200m from each other then find out the height of the light house
7. ### indian school

As observed from the top of 60m high light house the angle of dipression of two ships are 30 and 45.Findthe distance between ships.
8. ### indian school

AS OBSERVED FROM A 60M HIGH LIGHT HOUSE THE ANGLE OF DEPRESSION IS 30 AND 45 DEGREE.FIND THE DISTANCE BETWEEN THE SHIPS.
9. ### Maths

As observed from the top of the light house of height 'h'm .The angles of depression of two ships approaching it are p and q.If one ship is coming from west and other is coming from south.Find the distance between two ships in terms …
10. ### Trigo

From the top of the mountain 30m. Above the sea level, the angle of depression of two ships lying in a vertical plane with a mountain top measure 28° and 23°. Find the distance between the ships.

More Similar Questions