Question

A large balloon has been tied with a rope and it is floating in the air. A person has observed the balloon from the top of a building at angle of elevation of θ₁ and foot of the rope at an angle of depression of θ₂. The height of the building is h feet. Draw the diagram for this data.​

Answer 1

Answer:

Let

′

h

′

be the height of the balloon.

Now, in △ACB

⇒sin45°=

AC

AB

=

215

h

⇒

2

1

=

215

h

⇒h=

2

215

=

2

215

2

=152m

Hence, the answer is 152m.