A zip-line at a water park runs from the top of a wall, down to the ground on the other side of a pool. The top of the zip cord is 45 ft above the ground and the zip-line is 500 ft long. What is the horizontal distance between the wall and the end of the zip-line? Round your answer to the nearest foot.

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.

my answer got deleted but it's a

step-by-step explanation:

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