A 25 foot ladder is leaning against a tree. If the base of the ladder is 6 feet away from the base of the tree, how high, to the nearest tenth, does the
ladder reach up the tree?

9514 1404 393

  24.3 ft

Step-by-step explanation:

If h is the height of the ladder up the tree, the geometry can be modeled as a right triangle with legs h and 6, and hypotenuse 25. The Pythagorean theorem gives you the relation ...

  h² +6² = 25²

  h² = 625 -36 = 589

  h = √589 ≈ 24.3

The ladder reaches about 24.3 feet up the tree.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13