Nick has to travel 36 miles to commute from his home to his work. nick has completed 55% of his journey. a) how far does he have left to drive b) the road he normally takes is closed the detour route will add 20% to the distance he travels, how far will he have to drive in total ?

A) (1 - 0.55)(36) = 16.2

16.2 miles left

B) 55 + 0.2(55)

55 + 11 = 66

He will have to drive 66 miles.

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.