Evaluate cot 120° without using a calculator by using ratios in a reference triangle

How to do this , and can some one explain

What is the area of the original rectangle? 8 cm² 20 cm² 25 cm² 40 cm²

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.