A class is having their picture taken. the photographer positions himself 21 feet from the center of the row of students. when the photographer looks at the last student at either end of the row, the photographer must turn 45° from the center in either direction, as shown in the diagram. What is the best estimate of the length of the row of students

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.

p = 6s

step-by-step explanation: