It should be 12 ft away from the wall. Not 4 ft. You do not just subtract the difference because as you pull it away from the wall, the ladder is mostly moving horizontally with only a small vertical change.
You can use Pythagorean Theorem to find the answer. Think of the ladder as the hypotenuse of a right triangle with the wall and the ground as the legs.
a^2 + b^2 = c^2
16^2 + b^2 = 20^2
b^2 = 20^2 - 16^2
b^2 = 144
b = 12 ft
A) 3, 5, 6
c squared = a squared + b squared
6 squared = 5 squared + 3 squared
36 = 25 + 9
36 ≠ 34 (not a right triangle)
b) 13, 12, 5
c squared = a squared + b squared
13 squared = 12 squared + 5 squared
169 = 144 + 25
169 = 169 (is a right triangle)
c) 17, 15, 9
c squared = a squared + b squared
17 squared = 15 squared + 9 squared
289 = 225 + 81
289 ≠ 306 (not a right triangle)
d) 12, 8, 6
c squared = a squared + b squared
12 squared = 8 squared + 6 squared
144 = 64 + 36
144 ≠ 100 (not a right triangle)
hope this helps!!
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Find the number of miles he drove by subtracting the odometer readings:
38735.5 - 38320.8 = 414.7 miles.
Now divide the number of miles driven by the number of gallons:
414.7 / 14.5 = 28.6 miles per gallon.
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Answers in order from 5-8
