A 10 -foot ladder is leaning on a tree. The bottom of the ladder on the ground at a distance of 6 feet from the base of the tree. The base of the tree and the ground form a right angle as shown.

What is the distance, in feet, between the ground and the top of the ladder?

Respuesta :

The distance, in feet, between the ground and the top of the ladder is 8 feet.

The diagram formed will be a right triangle having the hypotenuse, adjacent and opposite sides

To get the  distance, in feet, between the ground and the top of the ladder, we will use the Pythagoras theorem as shown:

  • hyp² = opp² + adj²

Given the following sides

  • length of ladder = hyp = 10foot
  • distance from ladder to the base = adjacent  = 6 feet

Substitute the given parameters into the formula to have:

10² = opp² + 6²

opp²=100 - 36

opp² = 64

opp = 8feet

Hence the distance, in feet, between the ground and the top of the ladder is 8 feet.

Learn more on pythagoras theorem here: https://brainly.com/question/2938476