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Question 1
Sara and her sister leave home at the exact same time. Sara walks north at a rate of 4 miles per hour. Her sister walks east at a rate of 3 miles per hour. What is the straight line distance between the sisters two hours after they leave each other?>

After two hours, the straight line distance between Sara and her sister is 5,10,15?

Question 2
While working on the roof of his house, John leans a 15-foot ladder against a second-story window. If the distance on the ground between the base of the ladder and the house is nine feet, at what height does the ladder reach the second story window? In your final answer, include all necessary calculations.

1. 10 miles

2. 12 feet

Step-by-step explanation:

For question 1, they both walk for two hours so Sara walked 8 hours and her sister walked 6 miles. Since they went 90˚ opposite directions, we have to use the Pythagorean Theorem to find the distance. 8 squared plus 6 squared equals c squared. 64 plus 36 equals c squared. The square root of 100 is 10, so the distance is 10 miles.

For question 2, you also have to do the Pythagorean Theorem. So, since the hypotenuse is 15, we do 15 squared minus 9 squared equals b squared. 225 minus 81 equals b squared. 144 equals b squared. The square root of 144 is 12. The answer is 12 feet. I hope this helped and please mark me brainliest. I spent I lot of time on this!

$79500

step-by-step explanation: