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Ksenya-84 [330]
3 years ago
15

Two forces of 30 pounds and 40 pounds act upon a body, forming an acute angle with each other. The angle between the resultant a

nd the 30-pound force is 35degree 10'. Find, to the nearest ten minutes, the angle between the two given forces
Mathematics
1 answer:
tekilochka [14]3 years ago
8 0
Angles in the triangle are 
<span>35°10' </span>
<span>180° - A (with A = angle between the 2 forces) </span>
<span>A - 35°10' </span>

<span>40/sin35°10' = 30/sin(A-35°10') </span>
<span>sin(A-35.17) = 30sin35.17°/40 = 0.432 </span>

<span>A-35.17= 25.6 </span>
<span>A = 60.77° = 60°46' </span>
<span>60°50'</span>
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Answer:

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Complementary angles add up to 90°, so this option is correct.

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