Question

The resultant of a 15 pound force and an 8-pound force acting on an object is 10 pounds.

Answer 1

Answer:

112 degrees.

Step-by-step explanation:

• as we know that the three set of forces will form a triangle, by using cosine rule, we can find the required angle.

• follow the diagram in the attachment.

• by cosine rule for $\alpha$,

2*10*8*cos $\alpha$= $8^{2} +10^{2} -15^{2} = 64+100-225= 164-225=-61$

now, dividing both sides by 2*10*8,

cos $\alpha$ = -61/160

$\alpha$ = 112.4 degrees = 112 ( appox)  ( use calculator for this cos inverse function)