# Solution: When the balloon is 40 ft. from A, at what rate is its distance from B changing?

A balloon is rising vertically over a point A on the ground at the rate of 15 ft./sec. A point B on the ground level with and 30 ft. from A. When the balloon is 40 ft. from A, at what rate is its distance from B changing?

#### Problem Statement: ECE Board April 1998

A balloon is rising vertically over a point A on the ground at the rate of 15 ft./sec. A point B on the ground level with and 30 ft. from A. When the balloon is 40 ft. from A, at what rate is its distance from B changing?
• A. 13 ft/sec
• B. 15 ft/sec
• C. 12 ft/sec
• D. 10 ft/sec

#### Problem Answer:

The rate of the distance changing from B is 12 ft/sec

Solution:

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