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7 votes
7 votes
a ramp was constructed to load a truck. if the ramp is 10 ft long and the horizontal distance from the bottom of the ramp to the is 8 ft, what is the height from the ground to the top of the ramp?

User Boaz Yaniv
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3.6k points

2 Answers

22 votes
22 votes
You can use the Pythagorean theorem to do this. a^2 + b^2 = c^2.
a=8 ft
b=unknown
c=10ft
Square 10, to get 10,000
Square 8 to get 64
Subtract 64 from both sides
Then square root both sides to get x by itself. X = 99.7 ft
User Have A Nice Day
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2.8k points
9 votes
9 votes
If we assume that the angle created by horizontal distance and the height of the ramp is 90 degrees, we could use Pythagorean theorem c^2=a^2+b^2
c=10ft
b=8ft
a=? aka height

10^2=a^2+8^2
100=a^2+64
a^2=100-64
a^2=36
a= √36
a=6 ft
Height from the ground to the top of the ramp is 6ft.

User Espezy
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3.1k points