Two upward forces are acting on a bolt. One force of 60.5lb acts at an angle of 82.4 above the horizontal and the other force of 37.2 lb acts at an angle of 50.5 below the first force. What is the total upward force?

Fv = 79.63 lb

The total upward force Fv is 79.63 lb

Step-by-step explanation:

We need to determine the total upward force, the y component of force;

Given;

Force F1 = 60.5 lb, 82.4° above horizontal

Force F2 = 37.2 lb, (82.4-50.5)° above horizontal

The vertical component of Force F1 and F2 is;

Fv = 60.5sin(82.4) + 37.2sin(82.4-50.5)

Fv = 79.63 lb

The total upward force Fv is 79.63 lb

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

they would have to work 32 hours.