Question

A hot air balloon is tied to a 60 m long rope. Due to wind the balloon has moved from its place in the air but still tied to the same point on the ground. If the angle of elevation is 60 °, what is the height at which balloon is flying?

Answer 1

Answer:

Let C be the position of the meteorological station, B the position of the balloon and CB be the cable.

Let the height of the balloon from the ground be AB=hmetres.

In a right angled triangle ACB

BC

AB

=sin60

∘

⇒

200

h

=

2

3

since

sin60

∘

=

2

3

⇒h=200×

2

3

⇒h=100

3

∴h=100×1.732=173.2 since

3

=1.732

Hence, the height of the balloon above the ground is 173.2m

solution

Step-by-step explanation:

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