Answer:
A= 61.35
B= -44.40
Explanation:
1. Using the components method we have:
Considering that the vector sum 
, then:
Then:
It means the value of x and y component is 0.
2. Determinate the equations that describe each component:
Form Eq. (1):
Replacing A in Eq. (2):
Replacing values of C, α and β in (4):
Replacing value of B in (3)
Answer:
1.6 ft/min
Explanation:
Since trough is 10 ft long and water is filled at the rate of 12ft3/min. We can calculate the rate of water filled with respect to area:
= 12 / 10 = 1.2ft2/min
As the water level rises, so does the water surface, or the bottom side of the isosceles triangles. In fact we can calculate the bottom side when the trough is half foot deep:
= 3 / 2 = 1.5 ft
The rate of change in water level would be the same as calculating the height of the isosceles triangles knowing its base
= 1.2 * 2 / 1.5 = 1.6 ft/min
