An aeroplane at an altitude of 1200 meters finds that two ships are sa

1.	An aeroplane at an altitude of 1200 meters finds that two ships are saliling towards itin the same direction. The angle of depression of the ships as observed from theplane are 60Â° and 30Â° respectively. Find the distance between the two ships.aero
Answer» The height of the aeroplane can be AB and C and D be the position of 2 ships. Let ∠ ABC = 60° and ∠ADB = 30° Let BC = xm, CD = y m in triangle ABC, tan 60° = AB/BC √3 = 1200/x x = 1200/√3 = √3/√3 = 400√3 m In triangle ABD tan 30° = AB/BD = 1/√3 = 1200/ x + y y = 1200/√3 - 400√3 = 800√3 The final answer for this question is 800√3

An aeroplane at an altitude of 1200 meters finds that two ships are saliling towards itin the same direction. The angle of depression of the ships as observed from theplane are 60Â° and 30Â° respectively. Find the distance between the two ships.aero

Answer»

The height of the aeroplane can be AB

and C and D be the position of 2 ships.

Let ∠ ABC = 60° and ∠ADB = 30°

Let BC = xm, CD = y m

in triangle ABC,

tan 60° = AB/BC

√3 = 1200/x

x = 1200/√3 = √3/√3

= 400√3 m

In triangle ABD

tan 30° = AB/BD

= 1/√3 = 1200/ x + y

y = 1200/√3 - 400√3 = 800√3

The final answer for this question is 800√3