If a football player positioned on the scrimmage line runs straight downfield for 26 yards

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)

hope this helps :)

the results is a decrease in air temperature with an increase of altitude.

explanation: