SOLUTION: Bradley is mountain climbing with Colin and had just climbed a 16-meter vertical rock face. Colin is standing at the bottom of the cliff, looking up at Bradley. If Colin is 20 met

Algebra ->  Pythagorean-theorem -> SOLUTION: Bradley is mountain climbing with Colin and had just climbed a 16-meter vertical rock face. Colin is standing at the bottom of the cliff, looking up at Bradley. If Colin is 20 met      Log On


   



Question 1130356: Bradley is mountain climbing with Colin and had just climbed a 16-meter vertical rock face. Colin is standing at the bottom of the cliff, looking up at Bradley. If Colin is 20 meters away from Bradley, how far away from the cliff is Colin.
Found 2 solutions by jim_thompson5910, MathTherapy:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Draw out the picture

Diagram is not to scale
x = distance, in meters, Colin is from the base of the cliff

We have a right triangle forming. Use the pythagorean theorem to find x

a%5E2+%2B+b%5E2+=+c%5E2

x%5E2+%2B+16%5E2+=+20%5E2 Plug in a = x, b = 16, c = 20

x%5E2+%2B+256+=+400

x%5E2+%2B+256+-+256+=+400+-+256 Subtract 256 from both sides

x%5E2+=+144

sqrt%28x%5E2%29+=+sqrt%28144%29 Apply the square root to both sides

x+=+sqrt%28144%29

x+=+12

Answer: Colin is 12 meters away from the base of the cliff

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Bradley is mountain climbing with Colin and had just climbed a 16-meter vertical rock face. Colin is standing at the bottom of the cliff, looking up at Bradley. If Colin is 20 meters away from Bradley, how far away from the cliff is Colin.
Looking at the sides of the right triangle, formed by the given lengths, we see that when 16 and 20 are each divided by 4, we get 4 for one of
the LEGS and 5 for the hypotenuse. This is a 3-4-5 PYTHAGOREAN TRIPLE, which means that the other side - the SHORTER LEG - is 4 times 3, which
gives us a length of: highlight_green%28matrix%281%2C2%2C++12%2C+m%29%29