Word problem?

Question

I think I lknow the answer to this one but I'd like some feed back. The question reads as followed: Suppose at the kickoff of a football game, the kick return man catches the ball at the left side of the goal line and runs for a TD diagonally across the field. How many yards did he run? (The field is 100 yards long and 160 feet wide.)

Well just from playing the sport I know that 40 yards = 160 feet. When I worked the problem I got 120 yards ran by the return man.

Answer 1

if you think of it like a right triangle and use the pothagream theorem, then it works like this:

side a (length of field)= 100 yards
side b (width of field)= 40 yards
side c (hypotenuse, distance ran)= x

a^2 + b^2=c^2

100^2 + 40^2=x^2

10000+1600=x^2

11600=x^2

spuare root 11600 and that should be the answer which is approxamately 107.7 yards, then convert into feet if you need to.

i tried to break it down for you, i hope i didnt just confuse you more, this is how i see the problem

hope i could help

Answer 2

a football field is 100 yards long............. which is true but 160 ft doesn't = 40 yards, it's 53.333 yards. (160 / 3 = 53.333)

so just set up a triangle that is 100 yards on the horizontal side, and 53.333 yards on the vertical, and all you have to do is solve for the hypotenuse using the pythagorean theorem:

c^2 = a^2 + b^2
c^2 = (100)^2 + (53.333)^2
c^2 = 10000 + 2844.409
c^2 = 12844.409
c = 113.333 yards

Answer 3

1 yard = 3 feet. 40 yards = 120 feet.

This is an a^2 + b^2 = c^2 problem

A football field is 100 yards long = 300 feet. That is a.
A football field is 160 feet wide. That is b.
You need to find c.
So,
300^2 + 160^2 = c^2
90000 + 25600 = c^2
115600 = c^2
340 = c

c = 340 feet.

Answer 4

Find the hypotenuse of a 100 yard and 53-1/3 yard right triangle. (Pythagorean theorm)

Answer 5

math is for nerds.

...that's why they call them "math nerds".