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1. A 20 ft ladder reaches a window 18 ft high. How far is the foot of the ladder from the base of the building? How far must the foot of the ladder be moved to lower the top of the ladder by 2 ft?

1. A 20 ft ladder reaches a window 18 ft high. How far is the foot of the ladder from the base of the building? How far must the foot of the ladder be moved to lower the top of the ladder by 2 ft?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Name Suuum Panec tonuio Date 7/r8/22 Period 10.3 Worksheet - Applications of Pythagorean Theorem Including Distance Formula Additional Resources: Khan Academy help 1. A 20 ft ladder reaches a window 18 ft high. How far is the foot of the ladder from the base of the building? How far must the foot of the ladder be moved to lower the top of the ladder by 2 ft? 2. Robin and Dovey have four pet pigeons that they train to race. They release the birds at Robin's house and then drive to Dovey's to collect them. To drive from Robin's to Dovey's, because of one-way streets, they go 3.1 km north, turn right and go 1.7 km east, turn left and go 2.3 km north, turn right and go 0.9 km east, turn left and go 1.2 km north, turn left and go 4.1 km west, and finally turn left and go 0.4 km south. a. Sketch a picture of the route taken by the birds. b. How far do the pigeons have to fly to go directly from Robin's house to Dovey's house? 3. Hans needs to paint the 18 in.-wide trim around the roof eaves and gable ends of his house with 2 coats of paint. A quart can of paint covers 175 fr and costs $9.75. A gallon can of paint costs $27.95 and covers four times as much area as the quart. How much paint should Hans buy? Explain. 18 ft 18 in. 9.5 ft 42 ft
Transcribed Image Text:Name Suuum Panec tonuio Date 7/r8/22 Period 10.3 Worksheet - Applications of Pythagorean Theorem Including Distance Formula Additional Resources: Khan Academy help 1. A 20 ft ladder reaches a window 18 ft high. How far is the foot of the ladder from the base of the building? How far must the foot of the ladder be moved to lower the top of the ladder by 2 ft? 2. Robin and Dovey have four pet pigeons that they train to race. They release the birds at Robin's house and then drive to Dovey's to collect them. To drive from Robin's to Dovey's, because of one-way streets, they go 3.1 km north, turn right and go 1.7 km east, turn left and go 2.3 km north, turn right and go 0.9 km east, turn left and go 1.2 km north, turn left and go 4.1 km west, and finally turn left and go 0.4 km south. a. Sketch a picture of the route taken by the birds. b. How far do the pigeons have to fly to go directly from Robin's house to Dovey's house? 3. Hans needs to paint the 18 in.-wide trim around the roof eaves and gable ends of his house with 2 coats of paint. A quart can of paint covers 175 fr and costs $9.75. A gallon can of paint costs $27.95 and covers four times as much area as the quart. How much paint should Hans buy? Explain. 18 ft 18 in. 9.5 ft 42 ft
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