A ramp is being used to unload the back of a truck. The bottom of the ramp is 12 feet from the truck and the top of the ramp is lying on the back of the truck. If the back of the truck is 5 feet high, which of the following equations can be used to find the length of the ramp?
5^2 + b^2 = 12^2
12^2 + b^2 = 5^2
5^2 + 12^2 = c^2
Answers
Given : A ramp is being used to unload the back of a truck. The bottom of the ramp is 12 feet from the truck and the top of the ramp is lying on the back of the truck.
To find : equations can be used to find the length of the ramp
Solution:
Length of Ramp = c
The bottom of the ramp is 12 feet from the truck
=> Horizontal Distance (Base ) = 12 ft
back of the truck is 5 feet high,
=> Height = 5 ft
Length of Ramp = c ( hypotenuse)
Applying Pythagorean theorem
=> hypotenuse² = Base² height²
=> c² = 12² + 5²
=> 5² + 12² = c²
5² + 12² = c² is equations that can be used to find the length of the ramp
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