QuestionClayton is 12 feet behind Pamela and 9 feet left of Eve. Find the distance between Pamela and Eve.
Studdy Solution
STEP 1
Assumptions1. Clayton is seated12 feet directly behind Pamela. Clayton is seated9 feet directly left of Eve3. We are asked to find the distance between Pamela and Eve4. The seating arrangement forms a right triangle
STEP 2
We can use the Pythagorean theorem to solve this problem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written aswhere c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.
STEP 3
In this problem, the distance from Clayton to Pamela (12 feet) and the distance from Clayton to Eve (9 feet) are the two sides of the right triangle, and the distance from Pamela to Eve is the hypotenuse. We can plug these values into the Pythagorean theorem
STEP 4
Calculate the squares of12 and9
STEP 5
Add144 and81 to get the square of the hypotenuse
STEP 6
To find the length of the hypotenuse (c), we take the square root of both sides of the equation
STEP 7
Calculate the square root of225So, Pamela is15 feet away from Eve.
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