Jake plans to make a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters tall and the ramp is 158 centimeters long. What is the horizontal distance from the end of the ramp to the back of the truck?

Question

Mathematics

Dakota Hunter

15 January, 00:56

Jake plans to make a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters tall and the ramp is 158 centimeters long. What is the horizontal distance from the end of the ramp to the back of the truck?

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Answers (1)

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Dayton Suarez · Answer 1

Answer: 134.4 centimeters

Step-by-step explanation:

This question is asking us for a missing leg on the triangle, lets call it x. Using the Pythagorean theorem (a²+b²=c²), we can figure out what value is missing (either a or b, they are interchangeable).

replace the values in the equation.

83²+x²=158²

get rid of the exponents.

6,889 + x² = 24,964.

subtract 6,889 from 24,964.

x²=18,075.

find the square root on both sides of the equation.

x=134.4432966.

I am assuming you want this rounded to the nearest tenth.

134.4 is your answer.

Happy holidays!