The resultant of a 15 pound force and an 8-pound force acting on an object is 10 pounds. The angle formed, to the nearest degree, between the resultant and the smaller force is<…

Question

asked Sep 20, 2020 234k views

1 Answer

Cyrill · Answer 1 · 2020-09-24T14:54:43+0000

Answer:

112 degrees.

Explanation:

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

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)