The distances in space are measured in light-years. the distance from earth to a star is 5.9 × 10^13 kilometers. what is the distance, in light-years, from earth to the star (1 light-year = 9.46 × 10^12 kilometers)?
a) 1.61 light-years
b) 3.56 light-years
c) 5.58 light-years
d) 6.23 light-years

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.

1.30

step-by-step explanation: