Question

The angle of depression of two consecutive kilometre stones on the road on right or left of an aeroplane at 60 degree and 45 degree respectively as observed from the play find height of aeroplane

Answer 1

hope this answer will help you.

Answer 2

Dear Student,

◆ Answer -

h = 634 m

● Explanation -

Let h be height of the aeroplane.

Let x1 and x2 be horizontal distance of aeroplane from two kilometer stones.

x1 = h/tanθ1

x1 = h/tan60°

x1 = h/1.732 ...(1)

x2 = h/tanθ2

x2 = h/tan45°

x2 = h/1 ...(2)

Total distance 2 consecutive kilometers is 1 km = 1000.

x1 + x2 = 1000

h/1.732 + h = 1000

1000

0.5773h + h = 1000

1.5773h = 1000

h = 1000 / 1.5773

h = 634 m

Hence, height of aeroplane is 634 m.

Thanks dear. Hope this helps you...