Using the Pythagorean Theorem, it is found that the balloon rises 67.08 feet.
The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
Researching this problem on the internet, it is found that the situation is modeled by a right triangle, in which the horizontal distance between the balloon and the student is of 60 ft, the vertical distance is of h, while the hypotenuse is of 90 ft, hence:
[tex]60^2 + h^2 = 90^2[/tex]
[tex]h = \sqrt{90^2 - 60^2}[/tex]
[tex]h = 67.08[/tex]
The balloon rises 67.08 feet.
More can be learned about the Pythagorean Theoremat https://brainly.com/question/26396675
