Question

जमशः45डग्रा आर60डिग्रा पाया जाता हता
Two villages are 2 km apart, if the angles of depression of the two villages when observed
from a plane are found to be 45 degree and 60 degree respectively, then height of the plane is?​

Answer 1

Answer:

Let PQ= h m be a plane

From right angled △PAQ

tan 45°= PQ

-----

AQ

∴1= h

-----

x

or x=h ......(i)

Again from right angled △ PBQ

tan 60∘ = PQ

-------

QB

OR √3 = H

-----

2−X

From equation (i) 3 = H

-------

2−h

or 2 √3− 3 h=h

or h+ 3 h=2 √3

or h(1+ √3 )=2 √3

or h= 2√3 2√3 1-√3

---------- ---------- -----------

1+√3 1+√2 1-√3

2√3-6 = -2 (3-√3 )

---------- --------------

1-3 -2

=(3−√ 3 )km