McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
Study Guide and Review
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Exercise 43 Page 266

Consider applying the Power Property of Equality to solve the radical equation.

1600ft

Practice makes perfect
We are told that the time t in seconds that it takes an object to fall h feet — assuming that there is no air resistance — can be determined by the following formula. t = sqrt(h)/4We are also given that a skydiver jumps from an airplane and free falls for 10 seconds before opening the parachute. To find the distance that she free falls, let's substitute t = 10 into the given formula. 10 = sqrt(h)/4 Note that we obtained a radical equation — an equation containing variables in the radicand. While solving the radical equation, let's first isolate the radical and then apply the Power Property of Equality.
10 = sqrt(h)/4
â–Ľ
Solve for h
40 = sqrt(h)
40^2 = (sqrt(h))^2
1600 = (sqrt(h))^2
1600 = h
h = 1600
Therefore, the skydiver free falls 1600 feet.