Posted by **Cyndy** on Wednesday, August 1, 2012 at 2:32pm.

A 175-pound force and a 230-pound force are acting on the same point in directions that differ by 42°.

What is the angle that the resultant makes with

the 175-pound force?

A. 22°

B. 24°

C. 32°

D. 18°

- Trigonometry -
**Steve**, Wednesday, August 1, 2012 at 3:12pm
let the 175-lb force point in the x direction. Then the 230-lb force acts at an angle θ = 42°.

The two forces form adjacent sides of a parallelogram, with diagonal reaching to

(175+230cos42°,230sin42°) = (346,154)

The angle φ of the diagonal is found using

tan φ = 154/346, so

φ = 24°

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