Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. find the direction and magnitude of the resultant force. round to two decimal places in all intermediate steps and in your final answer.

Magnitude= 129.55N

Direction= 60°

Step-by-step explanation:

In order to find the magnitude, we must find the magnitude in both vertical and horizontal direction.

In horizontal direction:

F(x) =150cos30°+ 75cos150°

In vertical direction:

F(x) = 150sin30°+75sin150°

Thus, magnitude is given by: Direction of the force is  

α=60°

Hope this helped :)

2

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: