Kolby needs to fix a leaky roof on his mom's house but doesn't own a ladder. He thinks that a 25-foot ladder will be long enough to reach the roof, but he needs to be sure before he spends the money to buy one. He chooses a point P on the ground where he can visually align the roof of his 4.25 ft tall car with the edge of the roof of the house. If point P is 8.5 ft from the car and the car is 23 ft from the house, will the 25-foot ladder be tall enough?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.2: Law Of Cosines
Problem 3ECP: In a softball game, a batter hits a ball to dead center field, a distance of 240 feet from home...
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Kolby needs to fix a leaky roof on his mom's house but doesn't own a ladder. He
thinks that a 25-foot ladder will be long enough to reach the roof, but he needs to be
sure before he spends the money to buy one. He chooses a point P on the ground
where he can visually align the roof of his 4.25 ft tall car with the edge of the roof of
the house. If point P is 8.5 ft from the car and the car is 23 ft from the house, will the
25-foot ladder be tall enough?
Transcribed Image Text:Kolby needs to fix a leaky roof on his mom's house but doesn't own a ladder. He thinks that a 25-foot ladder will be long enough to reach the roof, but he needs to be sure before he spends the money to buy one. He chooses a point P on the ground where he can visually align the roof of his 4.25 ft tall car with the edge of the roof of the house. If point P is 8.5 ft from the car and the car is 23 ft from the house, will the 25-foot ladder be tall enough?
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