We have an angle, a hypotenuse - the ladder length - and we're looking for the opposite side......the sine seems the way to go, here.....
sin 65 = opp / 20 multiply both sides by 20
20 sin 65 = opp = about 18.13 ft up the wall
The answer is 246:157.
Step by Step:
Group A:
First, figure out 1/5 of the people in group A. ( 615/5 = 123 )
Find 2/5 ( the amount of people who lost ) ( 123*2 = 246 )
Group B:
They received the same amount of fuel cards, so you take 526 - 369 ( 3/5 of the last group, or the winners, which is the amount of cards they received ) = 157.
V= pi r^2h
180= pi (5)^2h
180=78.5h
Divide by 78.5
h= 2.29
h= 2.3
Sorry could not type pi symbol
I'm not good at graphing, but desmos.com is an online graphing calculator that works really well.