Answer:
a.
and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is 
Thus, we can write 
Approximate value (rounded to nearest tenth): 
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:

You can each order from: Column A- 6 times, Column B- 4 times
18/60 which is equal to 3/10
So you just need to put it into proportions which is blue to total. The total is 60 and there is 18 blue. Then you only need to simplify.
First, combine the like terms:
-x+8=3
Then, isolate x:
-x=-5
Then, divide by -1:
x=5