SOLUTION: Mandy is mountain climbing with Erin and has just climbed an 18-meter vertical rock face. Erin is standing at the bottom of the cliff, looking up at Mandy. If Erin is 30 meters awa

Algebra ->  Pythagorean-theorem -> SOLUTION: Mandy is mountain climbing with Erin and has just climbed an 18-meter vertical rock face. Erin is standing at the bottom of the cliff, looking up at Mandy. If Erin is 30 meters awa      Log On


   

Question 1200948: Mandy is mountain climbing with Erin and has just climbed an 18-meter vertical rock face. Erin is standing at the bottom of the cliff, looking up at Mandy. If Erin is 30 meters away from Mandy, how far away from the cliff is Erin standing?
Answer by ikleyn(52778) About Me  (Show Source):
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Mandy is mountain climbing with Erin and has just climbed an 18-meter vertical rock face.
Erin is standing at the bottom of the cliff, looking up at Mandy.
If Erin is 30 meters away from Mandy, how far away from the cliff is Erin standing?
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We have a right-angled triangle with vertical leg of 18 meters and the hypotenuse of 30 meters.


Then the horizontal leg is  sqrt%2830%5E2-18%5E2%29 = sqrt%28900-324%29 = sqrt%28576%29 = 24 meters.


This horizontal leg represents the distance from the cliff.


ANSWER.  Erin stands 24 meters from the cliff.

Solved.