Stoplight auto center is selling its shares for 28.75 how much commission would the auto center pay on a sale of 90 shares with a 10 percent commission?

We are asked to solve for the total commission would the auto center pay on a sale of 90 shares with a 10 percent commission.

Given that the selling per share is 28.75

The solution is shown below:
Total commission = ($28.75 * 90 shares) x 0.1 (for 10 percent)
Total commission = $ 258.75

a=61.39°

Step-by-step explanation:

we know that

In the right triangle DEF

The tangent of angle a is equal to divide the opposite side to angle a (FE) by the adjacent side to angle a (FD)

tan(a)=FE/FD

substitute the given values

tan(a)=55/30

a=arctan(55/30)

a=61.39°