Question

At a hot-air balloon festival, Luis watches a hot-air balloon rise from a distance of 200 yards. After a short while, the balloon seems to hover at an angle of 75°. How high is the balloon off the ground?

a. 207
b. 773
c. 746
d. 193

Answer 1

I would be helpful if you draw the problem because you will see that a right triangle would be formed where the base is equal to 200 yards and the angle of elevation from the hypotenuse to the ground is 75. We use the tangent function for this.

tan (75) = height / base = height / 200
height = 746.41 yards ---------> OPTION C

Hope this answers the question.