PRE CALC TRIG QUESTION the planet venus can be seen from ear

PRE CALC TRIG QUESTION...

the planet venus can be seen from earth with the naked eye, the position of venus is uncertain (we are unable to tell if venus is in the near position or the far position). Given earth is 93 million miles from the sun and venus is 67 million miles from the sun, determine the closest and farthest possible distances that serperate the planets in this alignment. assume a viewing angle of \\theta=18 degrees and that the orbits of both planets are roughly circular. please show work...thanks.. HOW sure are you it is correct?

Solution

Here clearly the closest distance = 93- 67 = 26 million miles

and farthet distance = 93+67 = 160 million miles

Answer