Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 40° and 170°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

Denote the two force vectors by and , respectively.

Compute the horizontal and vertical components:

The resultant force has components equal to the sum of the corresponding components of :

The resultant force then has magnitude

and direction , where

2160ft3

step-by-step explanation:

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58