Canadian Football Field Length
NEED MAJOR HELP WITH THESE 2 PYTHAGOREAN THEROEM QUESTIONS!!PLZZZ HELP!!?
To meet safety standards, a wheelchair ramp must be built in the following proportion.
height : base length = 1 : 12
The wheelchair ramp at your school will be 0.9 metres high. What will the length of the ramp along the surface be? (Hint: Use the ratio above to find the base length first.)
And…
A standard Canadian football field (without the end zones) is about 101 metres by 59 metres. How much shorter is it to walk diagonally across the field than along two adjoining sides?
I got the other questions but am totally blank on these two. Any help would be very much appreciated. Thanks!!!
The formula you will be using for these questions is: a^2+b^2=c^2
1) For the first question, you are given a ratio
height : base length
Which is 1 : 12
Then you are given the height 0.9 m. With this, you can find the base length and then using the formula, you can find the length of the ramp.
So,
Since one metre in height gives you 12 m in base length, 0.9 m in height gives you ‘x’:
(You can write ratios as fractions):
1/12 = 0.9/x <-- solve for 'x'
10.8 m base length
Now use the pythagorean formula to solve for ramp length.
(Let a = height, b = base length, and c = ramp length)
a^2+b^2=c^2
0.9^2+10.8^2=c^2
0.81 + 116.64=c^2
c=sqrt(117.45)
c=10.837m
So your ramp length is 10.837m.
2) For the second question, you are asked to find the difference in the distance when you travel the two adjoining sides between travelling the diagonal. The field is a rectangle. One side is 101 m and the other is 59 m. The diagonal is your hypotenuse.
Use the formula to find the hypotenuse:
a^2+b^2=c^2
101^2+59^2=c^2
c=sqrt(13682)
c=116.97m
So, you would travel 116.97m if you diagonally.
If you travel the two adjoining sides, you would travel:
a + b = ?
101 + 59 = 160m
Therefore your difference is distance would be:
160 - 116.97 = 43.03m
So, you would walk 43.03 m less if you go diagonally.
Raekwon Grant MONSTER game against Paul Dwyer (5 TD’s including full field punt return)
