Two forces of 30 pounds and 40 pounds act upon a body, forming an acute angle with each other. The angle between the resultant and the 30-pound force is 35degree 10'. Find, to the nearest ten minutes, the angle between the two given forces

Question

Mathematics

Gideon

22 November, 01:48

Two forces of 30 pounds and 40 pounds act upon a body, forming an acute angle with each other. The angle between the resultant and the 30-pound force is 35degree 10'. Find, to the nearest ten minutes, the angle between the two given forces

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Answers (1)

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Yamilet Singh · Answer 1

Angles in the triangle are

35°10'

180° - A (with A = angle between the 2 forces)

A - 35°10'

40/sin35°10' = 30/sin (A-35°10')

sin (A-35.17) = 30sin35.17°/40 = 0.432

A-35.17 = 25.6

A = 60.77° = 60°46'

60°50'