Answer: The player is catching the ball at (4,25), therefore the second option is correct.
Explanation:
It the given graph x-axis represents the time (in seconds) after throw and y-axis represents the distance from goal (in yards).
In the graph violet and orange lines represents the distance of player and ball respectively, from the goal at different point of time.
The player will catch the ball when the distance of player and ball from the goal is same on the single point of time.
The point of time where distance of player and ball from the goal is same, is the point of intersection of both lines.
From the graph it is clearly noticed that both lines violet and orange insects at point (4,26), therefore player is catching the ball at (4,25), therefore the second option is correct.
This is the the concept of trigonometry, to get the sine value of the the function given we shall proceed as follows; Using Pythagorean theorem, the hypotenuse of the triangle will be found as follows; The side length will be 8 units since the y-coordinate is -8 The side width will be 3 units since the x- coordinate is 3 c^2=a^2+b^2 c^2=(3)^2+(-8)^2 c^2=9+64 c^2=73 c=sqrt(73)
Therefore the sine value will be: sin x=3/sqrt(73) multiply both numerator and denominator by sqrt(73) we get: sin x=(3√73)/73
