423,393 views
11 votes
11 votes
A weather balloon is launched from the ground at a location that is 750 feet from a 65 foot royal palm tree. What is the minimal angle of elevation at which the balloon must take off in order to avoid hitting the tree? Assume that the balloon flies in a straight line and the angle of elevation stays constant. Round your answer to the nearest tenth. The minimal angle of elevation is.

User Midhun KM
by
2.8k points

1 Answer

21 votes
21 votes

Answer: 5°

Explanation:

You can use a right triangle to solve

Hypotenuse would be the flight path

One leg (opposite) is the tree 65 ft

Tan (Θ) = opposite/ adjacent = 65/750

Θ = arctan (65/750)

Θ = 5°

User Daniel Tate
by
3.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.