An automotive technician has two job offers. Shop A would pay him a straight salary of $900 per week. Shop B would pay him $25 p
er hour to work flat rate, where hishours would vary according to how many jobs he completes. How many hours would he have to log during a week at Shop B in order to match the salary at Shop A?He would have to log hours during a week at Shop B in order to match the salary at Shop A.Please help
1 answer:
Given,
The salary for the technician from shop A is $900 per week.
The salary for the technician from shop B is $25 per hour.
The equation for the total pay for shop B is,
Taking the total pay as 900. As, to make the shop A and shop B equal.
Hence, he would have to log 36 hours during a week at Shop B in order to match the salary at Shop A.
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Check the picture below.
this is a case of the ambiguous case with an SSA, AC and CB are the sides and the angle is at A.
the ambiguous case has two triangles, the case when B is acute, CB sticks out, and the case when B is obtuse, CB sticks inside, it just so happen that those two angles for B are "supplementary" angles.
if you check the sin⁻¹ of that, we'll get the acute version of B, that's because of the constraints on the range of the inverse sine function, and we get ∡B ≈ 36.86989765°.
and of course, the other angle for B will be 180 - 36.86989765.
this is a case of the ambiguous case with an SSA, AC and CB are the sides and the angle is at A.
the ambiguous case has two triangles, the case when B is acute, CB sticks out, and the case when B is obtuse, CB sticks inside, it just so happen that those two angles for B are "supplementary" angles.
if you check the sin⁻¹ of that, we'll get the acute version of B, that's because of the constraints on the range of the inverse sine function, and we get ∡B ≈ 36.86989765°.
and of course, the other angle for B will be 180 - 36.86989765.