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Trigonometry and figuring out the length of the hypotenuse

  • Thread starter mariner962
  • Start date
  • #1

Homework Statement


A monkey is chained to a stake in the ground. The stake is 2.15 m from a vertical pole, and the chain is 4.50 m long. How high can the monkey climb up the pole?
The answer is given in meters
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
What attempt have you made? Which trig function do you think should be used?
 
  • #3
I was not too sure where to start. I know that I have both of the lengths but I am confused about how to approach the problem
 
  • #4
537
1
try drawing a picture and labeling the parts and looking at the various angles in the problem
 
  • #5
okay so i have a right triangle and is the height that can be climbed the hypotenuse?
 
  • #6
537
1
the hypotenuse would probably be the length of the chain, since I would imagine the 90 degree angle in this right triangle would be the angle between the pole and the ground
 
  • #7
157
0
Welcome to PF.
This problem can be solved with just algebra and the Pythagorean theorem.
The monkey walks over 2.15 m from the stake to the pole (x-axis).
The monkey climbs up the pole an unknown amount (y-axis).
The maximum chain length is 4.50 m (hypotenuse).
 

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