Question

2. The angle of depression from a vertical airplane to the
two mile-stones, which are on the opposite sides of the
plane are 30 and 60°. then find the vertical height of the
airplane from the road (in miles)
​

Answer 1

Answer:

hello please follow me please mark as brainlist

Step-by-step explanation:

10th

Maths

Some Applications of Trigonometry

Heights and Distances

From an aeroplane flying, v...

MATHS

avatar

Asked on October 15, 2019 by

Harvinder Gameti

From an aeroplane flying, vertically above a horizontal road, the angle of depression of two consecutive stones on the same side of the aeroplane are observed to be 30

o

and 60

o

, respectively. The height at which the aeroplane is flying (in km) is

MEDIUM

Help best friend

Study later

VIDEO EXPLANATION

ANSWER

Let the distance of two consecutive stones are x, x+1.

In ΔBCD, we have

tan60

o

=

x

h

⇒x=

3

h

.....(i)

In ΔABC, we have

tan30

o

=

x+1

h

⇒

3

1

=

x+1

h

⇒

3

h

+1=

3

h ......[from equation (i)]

⇒

3

2h

=1

⇒h=

2

3

km