Question

STUDY 1 An aeroplane falls vertically due to some mechanical problems and makes angles of elevation of 60 and 30° at an observing point. If the distance between the two points A and B is 1000m (a) Find the height at which the aeroplane faces the mechanical problems. (b) find the distance hetween at which the aeronplane falls and the point of observation (Take π
- 1.73) 1000 m 60 30 с​

Answer 1

Answer:

Let the height of first plane be AB=4000m and the height of second plane be BC=xm

∠BDC=45

∘

and ∠ADB=60

∘

In △CBD

(i)

y

x

=tan45

∘

=1

⇒x=y

In △ABD,

y

4000

=tan60

∘

=

3

⇒x=y=

3

4000

3

=2306.67m

∴ the vertical distance between two=4000−y=4000−2306.67=1693.33m

Step-by-step explanation:

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Answer 2

Answer:

Let the height of first plane be AB=4000m and the height of second plane be BC=xm

∠BDC=45

∘

and ∠ADB=60

∘

In △CBD

(i)

y

x

=tan45

∘

=1

⇒x=y

In △ABD,

y

4000

=tan60

∘

=

3

⇒x=y=

3

4000

3

=2306.67m

∴ the vertical distance between two=4000−y=4000−2306.67=1693.33m