Yesenia has a 13 ft ladder that she placed against a wall. How far up the wall will the ladder reach when the
base of the ladder is 5 ft from the wall?

12 ft

Step-by-step explanation:

Using formula (pythagorean theorem)

a² + b² = c²

Where :

13 = c

and 5 = a

5² + b² = 13²

25 + b² = 169

169 - 25 = b²

144 = b²

Sq root b = 12

It will reach up 12 ft.

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-Chetan K

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.