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Forces 50N and 80N act on a body as shown in the diagram....

Forces 50N and 80N act on a body as shown in the diagram. Find, correct to the nearest whole number, the horizontal component of the resultant force.

Forces 50N and 80N act on a body as shown in the diagram. Find, correct to the nearest whole number, the horizontal component of the resultant force.

A.

13N

B.

43N

C.

57N

D.

95N

Correct answer is A

Given a force F, the horizontal component = Fcosθ

R = 50cos30+80cos45

= 50(32)+80(22)

= 253+402=43.30+56.67

= 13.37N