Question

the angle of elevation from the top of a 95 foot tall building to a hot air ballon in the sky is 76 degrees if the horizontal distance between the building and the hot air balloon is 354 feet find the height of the hot air ballon

Answer 1

Answer: 1514.816 feet (approx)

Explanation:

Let x be the height of the balloon from the straight horizontal line shows the top of the building.

Thus, the total height of the balloon from the ground = x + the height of the building = x + 95

By the below diagram,

`tan76^(\circ)=(x)/(354)`

`\implies 354* tan 76^(\circ)=x`

`\implies 1419.81645047 = x`

Hence, the height of the balloon from the ground

= x + 95

= 1419.81645047+ 95

= 1514.81645047 ≈ 1514.816 Feet.