MATH SOLVE

3 months ago

Q:
# The angle of elevation from the top of a 95 foot tall building to a hot air balloon in the sky is 76°. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon.

Accepted Solution

A:

The first thing we must do for this case is to find the height of the balloon from the top of the building.

We have then:

tan (76) = h / 354

h = 354 * tan (76)

h = 1419.81645

Then, the height from the ground is:

1419.81645 + 95 = 1514.81645

Rounding off we have:

1514.82 feet

Answer:

The height of the hot air balloon is:

1514.82 feet

We have then:

tan (76) = h / 354

h = 354 * tan (76)

h = 1419.81645

Then, the height from the ground is:

1419.81645 + 95 = 1514.81645

Rounding off we have:

1514.82 feet

Answer:

The height of the hot air balloon is:

1514.82 feet