In the figure, angles $ABC$ and $AST$ are right angles. If $AC = 35$, $AT = 11$, and $BT = 10$, then what is $AS$?
Note that triangles ABC and AST are similar
So
AT / AC = AS / AB
11 / 35 = AS / ( AT + BT)
11/ 35 = AS / ( 11 + 10)
11 / 35 = AS / 21 cross-multiply
21 * 11 = 35 * AS
21 * 11 / 35 = AS = 33/5 = 6.6
+56 
