Two forces with magnitudes of 25 and 30 pounds act on an object at angles of 10° and 100°, respectively. find the direction and magnitude of the resultant force. round to two decimal places in all intermediate steps and in your final answer.

resultant force acting on the object is 39.04 pounds and at the angle of 60.20°

Step-by-step explanation:

From the attached figure 1 we will find the horizontal and vertical components of two forces 25 pounds and 30 pounds acting on an object placed at point O.

      Vertical component = 25 cos80° + 30 cos10°

                                         = 25×0.1736 + 30×0.9848

                                         = 4.34 + 29.54

                                         = 33.88 pounds

   Horizontal component = 25 sin80° - 30 sin10°

                                          = 25×0.9848 - 30×0.1736

                                          = 24.62 - 5.208

                                          = 19.41 pounds

Now we come to the second figure

Resultant force =

                         =

                         =

                         = pounds

Now we have to find the measure of angle x

Since tanx° =

tanx = 1.7455

x =

x = 60.20°

Therefore, resultant force acting on the object is 39.04 pounds and at the angle of 60.20°

whatvare the choices

step-by-step explanation: