An aeroplane had altitude of 1200m in find that 2 ship are sailing tow

1.	An aeroplane had altitude of 1200m in find that 2 ship are sailing towards it in the same direction the angle of depression of two ships as abserved from aeroplane are 60° and 30° find the distance
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 If there is any confusion please leave a comment below.

An aeroplane had altitude of 1200m in find that 2 ship are sailing towards it in the same direction the angle of depression of two ships as abserved from aeroplane are 60° and 30° find the distance

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

If there is any confusion please leave a comment below.