Two forces of 5lb and 14lb act on a body at right angles to each other. find the angle their resultant force makes with the force of 14lb.

Hello!

To find the angle measure of the resultant force, we will need to use the tangent trigonometric function. If there are two forces that act on a body, then the resultant force will be found by using the Pythagorean Theorem to solve for the resulting force.

Therefore, we will need to use tangent, which is opposite over adjacent. Since we solving for an angle measure, we will use the inverse tangent function to solve for it.

tan^-1(5/14) = 19.65°

Therefore, the angle measure of the resultant force is about 19.65 degrees.

Resultant = √(5² + 14²) = 14.87 Ib.

Required angle = arctan5/14 = 19.65°.

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