In a football drill, Ron is standing 30 yards directly east of John, and Bill is standing 40 yards directly north of John. If the football is thrown from Ron to Bill and then from Bill to John, how many yards did the football travel?

In a football drill Ron is standing 30 yards directly east of John and Bill is standing 40 yards directly north of John If the football is thrown from Ron to Bi class=

Respuesta :

Answer:

D, 90

Step-by-step explanation:

See image below.

To find the distance from Bill to Ron, we will use the Pythagorean Theorem, which is a^2+b^2=c^2.

(a and b being the legs of the triangle, they form the 90 degree angle. c=hypotenuse, or the side that is opposite from the 90 degree angle)

In this example, a=30 and b=40.

30^2+40^2=c^2

900+1600=c^2

2500=c^2

c=50.

Then, to find the yards thrown, we will add the distance from Ron to Bill and the distance from Bill to John. This can be written as 50+40, which equals 90 yards.

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