If a football player positioned on the scrimmage line runs straight downfield for 26 yards and then cuts to his left for 6.0 yards to receive a pass, what is the football player's total displacement from the scrimmage line? (use trigonometry to answer, but remember to draw a diagram to your understanding.) give both the magnitude and the angle in your answer.

In the problem you are given what basically amounts to two sides (the legs) of a right triangle.
 We are trying to find the hypotenuse of the triangle (which is the displacement).
 Using the Pythagorean Theorem 
 a^2+b^2=c^2 
 we will plug in 26 and 6 for a and b, and then solve for c yielding an answer of 26.6833 yards.
 To find the angle from the direction he ran forward, we can use a trigonometric function.
 I will use the tangent function since we are given the adjacent and opposite sides (tanθ=(opp/.adj.) 
 tanθ=(6/26).
 This yields a theta value of 12.9946 degrees (this is the angle from his initial running direction)

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