The football player: Vectors question

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A football player runs 35 meters down the field, then turns right at a 25-degree angle and runs an additional 15 meters before being tackled. The total displacement is calculated using the Pythagorean theorem and trigonometric functions. The textbook states the resultant displacement is 49 meters at an angle of 7.3 degrees to the right of the original direction. To find the direction, components of the displacement are analyzed using the cosine rule and tangent function. Understanding the context of the question is crucial for accurately applying vector concepts.
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1. A football player runs directly down the field for 35 m before turning to the right at an angle of 25 degrees from his original direction and running an additional 15 m before getting tackled. What is the magnitude and direction of the runner's total displacement?

Homework Equations



Pythagorean Theorem (c^2 = a^2 + b^2)
Sin, Cosine, and Tangent Functions
Inverse of Sin, Cosine, and Tangent functions



3. I do not have nay idea how to approach this question. Vectors is an easy concept, but I probably do not understand the context of the question itself. According to the textbook, the answer is "49 m at 7.3 degrees to the right of down-field".
 
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Th angle between the vectors is 25 degrees. Using cosine rule find resultant displacement.
To find the direction, take the component of 25 degrees along the original direction and perpendicular to the original direction. Using the tangent function find the direction.
 
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