Linda is mountain climbing with Allie and has just climbed a 16-meter vertical rock face .allie is standing 12 meters away from the bottom of the cliff,looking up a up at linda. How far away are Linda and allie ?
Today please send mi
impatient much, Payal?
Draw a diagram
Recall the Pythagorean Theorem
d^2 = 16^2 + 20^2
To determine the distance between Linda and Allie, let's break down the given information:
1. Linda has climbed a vertical rock face of 16 meters.
2. Allie is standing 12 meters away from the bottom of the cliff.
Since Linda has climbed straight up the vertical rock face, she is now at a height of 16 meters above the ground level where Allie is standing.
To find the distance between Linda and Allie, you can use the Pythagorean theorem, which states:
c^2 = a^2 + b^2
In this case, c represents the distance between Linda and Allie, a represents the height difference (16 meters), and b represents the horizontal distance (12 meters).
So, let's plug in the values:
c^2 = 16^2 + 12^2
c^2 = 256 + 144
c^2 = 400
To find c, take the square root of both sides:
c = sqrt(400)
c = 20
Therefore, Linda and Allie are 20 meters apart.