<PRE><B>Question 933353</B>
jerry forms a right triangle where the angle is 52 degrees and the side opposite is 8 and the side adjacent is equal to j.


michael forms a right triangle where the angle is 38 degrees and the side opposite is 8 and the side adjacent is equal to m.


tangent of 52 is equal to opposite / adjacent which is equal to 8 / j, where j is the distance that jerry is from the pole.


tangent of 38 is equal to opposite / adjacent which is equal to 8 / m, where m is the distance that michael is from the pole.


your 2 equations are:


tan(52) = 8/j
tan(38) = 8/m


solve for j to get j = 8 / tan(52).

solve for m to get m = 8 / tan(38).


add j and m together to get distance between jerry and michael is equal to 8 / tan(52) + 8 / tan(38) which is equal to 16.5 rounded to 1 decimal place.




</PRE>