If cotθ=3, what is sinθ? Round to the nearest hundreth

One line passes through (-7,-4) and (5,4) . another line passes through the point (-4,6) and (6,-9)

In a column proof the right column states your reasons

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?