In a rhombus whose side measures 18 and the smaller angle is 34°, find the length of the larger diagonal, to the nearest tenth.

Check the picture below.

since the smaller angle is 34°, the diagonal will bisect that in two equal halves, as you see in the picture, a 17° and a 17° twin.

bearing in mind that the diagonals in a rhombus cut each other in half, if that side is "a" units long, the longer diagonal is then 2a.

make sure your calculator is in Degree mode.

Let r = rental cost and m = miles

the rental cost of plan a is $75 plus $0.20 per mile

r=75+0.20m

the rental cost for plan b is $0.35 per mile

r=0.35m

the two plans are the same when

75 +0.20m = 0.35m

75=0.15m

500=m