The listing pagoda of phan-ling is leaning 5 feet off center . every 25 years, the pagoda leans an additional foot. it will collapse when it reaches 10 feet off center . if nothing is done to fix the problem, how many years remain before the pagoda falls down?

After 125 years pagoda will fell down.

Step-by-step explanation:

The listing pagoda of Phan-ling is leaning 5 feet off center.

The pagoda leans an additional feet every year.

To form the function representing this situation we will use the equation y = mx + c

where c = Initial leaning of pagoda off the center

m = rate of leaning of the pagoda

As given in the statements written above c = 5 feet

and m =

So the function will be f(x) =

This equation represents the whole phenomenon of leaning of pagoda.

We have to find the years remaining in the fall of pagoda if after 10 feet leaning pagoda will collapse.

Now we have to find the value of f(10)

10 =

10 - 5 = 0.04x

x =

x = 125 years

After 125 years pagoda will fall down.

1 1/5

step-by-step explanation:

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.