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nata0808 [166]
3 years ago
5

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

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0

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)

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