Your school counselor has given you clear directions that you and your best friend should not be seen within 240 feet of each other after school. You should be at football practice and your best friend should be in the computer lab for their AVA course.
Your best friend needed to quickly give you something after school. Therefore, they met you on the football field. To make sure you did not get in trouble with your coach and counselor, you made sure you were 240 feet apart.

Discuss the following:
1. Tell us how you calculated your 240 feet distance apart on the football field. (30 pts)
2. What yard line would you stand on? What yard line would your best friend stand on? (35 pts)
3. Would it matter if you were both standing in the middle of the yard line versus standing diagonal to each other?

1. 80 yd

2. 10 and 10 of the other side

3. yes

Step-by-step explanation:

1. As we were asked to stay 240 feet away, and we will be on a soccer field and it has marked distances in yards we just have to pass our feet to yards.

1 ft = 1/3 yd

240 ft = 240/3 yd

240 ft =  80 yd

2. one would have to stand in yard 10 and the other in yard 10 but from the other side of the field

50-10 = 40

40 + 40 = 80 yd

3.  

if they are diagonally the distance will be greater than 80, since the yards are parallel, because only the distance would remain only if they are on the same height

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

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