Midge is a crane operator on the wharf. Her crane is mounted on a track that allows it to be moved on a line that moves in a northeasterly direction up to $30$ meters. The crane itself extends out to the left of that line a distance of up to $10$ meters in a direction which is $10$ west of north. What is the area of the ground that Midge can access with her crane?

The following bits of information may or may not prove useful to you:

The crane and its track can be modeled with numpy vectors

The region that Midge can reach with her crane can be drawn with matplotlib

On any given shift, Midge can move more than $200$ metric tons of cargo

How you do on this problem may well be a determinant for your grade

Midge's crane will sometimes overheat on a hot summer day

No trigonometry is required, except to create the elements of one of the vectors

Midge's crane consumes over $5$ gallons of fuel every hour.

Please solve it using Python math, numpy libraries.