The upper Angel Falls, the highest waterfall on Earth, is 750m higher than Niagara Falls. If each of the falls were 7m lower, the upper Angel Falls would be 16 times as high as Niagara Falls. How high is each waterfall? Use a chart.
let the height of NF be x m
then the height of AF is x+750
if NF were 7 m lower ----> x-7
if AF were 7 m lower ----> x+750-7 or x+743
then x+743 = 16(x-7)
x + 743 = 16x - 112
743 + 112 = 16x - x
15x = 855
x = 57
NF is 57 m high, AF is 807 m high.
idk i am stupid as a rock. I like food and what the heck is this problem
Let's solve this step-by-step:
1. Let's call the height of Niagara Falls "N" and the height of the upper Angel Falls "A".
2. We are given that the upper Angel Falls is 750m higher than Niagara Falls, so we can write the equation: A = N + 750.
3. We are also given that if each waterfall were 7m lower, the upper Angel Falls would be 16 times as high as Niagara Falls, so we can write the equation: (A - 7) = 16 * (N - 7).
4. Now we have two equations with two unknowns, A and N. We can use these two equations and solve them simultaneously.
Using the substitution method, we can substitute the value of A from equation 1 into equation 2:
(N + 750 - 7) = 16 * (N - 7)
Simplifying the equation:
N + 743 = 16N - 112
Rearranging the equation:
15N = 855
Dividing both sides by 15:
N = 57
Now, substitute the value of N back into equation 1 to find the value of A:
A = 57 + 750
A = 807
So, the height of Niagara Falls is 57m and the height of the upper Angel Falls is 807m.
To solve this problem, we can create a chart to organize the given information and solve for the heights of each waterfall.
Let's assume the height of Niagara Falls is represented by "NF" and the height of the upper Angel Falls is represented by "AF."
Based on the given information, we can create the following chart:
```
Waterfall | Height (h) | Height - 7m |
--------------------------------------------------
Niagara Falls| NF | NF - 7 |
Angel Falls | AF | AF - 7 |
```
According to the problem, the upper Angel Falls is 750 meters higher than Niagara Falls. This gives us the equation:
AF = NF + 750
The problem also states that if each waterfall were 7m lower, the upper Angel Falls would be 16 times as high as Niagara Falls. This gives us the equation:
(AF - 7) = 16 * (NF - 7)
Now, let's substitute the value of AF from the first equation into the second equation:
(NF + 750 - 7) = 16 * (NF - 7)
Simplifying this equation gives us:
NF + 743 = 16NF - 112
Combine like terms:
16NF - NF = 112 + 743
15NF = 855
Divide both sides of the equation by 15:
NF = 57
Now, substitute the value of NF back into the first equation to find the value of AF:
AF = NF + 750 = 57 + 750 = 807
So, Niagara Falls is 57 meters high, and the upper Angel Falls is 807 meters high.