Find the resultant of two forces 130 N and 110 N respectively, acting at an angle whose tangent is 12/5.

Explanation:

Given

Let the two forces be

and

Required

Determine the resultant force

Resultant force (Fr) is calculated using:

This means that we need to first calculate

Given that:

In trigonometry:

By comparing the above formula to

The hypotenuse is calculated as thus:

is then calculated using:

Substitute values for , and in

Take square roots of both sides

Hence, the resultant force is 200N

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