Two forces act on a point in the plane. The angle between the two forces is given. Find the magnitude of the resultant force.
forces of 250 and 450 newtons, forming an angle of 85°​​

Verified step by step guidance

1. Identify the magnitudes of the two forces and the angle between them. Here, the forces are 250 newtons and 450 newtons, and the angle between them is 85°.
2. Use the formula for the magnitude of the resultant force when two forces are acting at an angle: \( R = \sqrt{F_1^2 + F_2^2 + 2F_1F_2\cos(\theta)} \), where \( F_1 \) and \( F_2 \) are the magnitudes of the two forces, and \( \theta \) is the angle between them.
3. Substitute the given values into the formula: \( R = \sqrt{250^2 + 450^2 + 2 \times 250 \times 450 \times \cos(85°)} \).
4. Calculate the cosine of 85° using a scientific calculator or cosine table.
5. Evaluate the square root expression to find the magnitude of the resultant force.