Apine tree measured 40 1/2 feet tall. over the next 7 1/2 years, it grew to a height of 57 feet , during the 7 1/2 years what was the average yearly growth rate of the height of the tree?

step-by-step explanation:

if x = 2 you have to find x to finish the problem

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.