find the distance, d, across the river. Assume that the ratio of d to 100 ft is the same as the ratio of 40ft to 20 ft
d/100 = 40/20
Find the distance d. Assume that the ratio of d to 80 ft is the same as the ratio of 30 ft to 40 ft.
To solve this problem, we'll use the concept of ratios.
Let's denote the distance across the river as "d". We're given that the ratio of "d" to 100 ft is the same as the ratio of 40 ft to 20 ft.
Mathematically, this can be written as:
d / 100 = 40 / 20
To solve for "d", we can cross-multiply and simplify the equation:
d * 20 = 100 * 40
Now, we can solve for "d":
d * 20 = 4000
Divide both sides of the equation by 20:
d = 4000 / 20
Simplifying the division gives us:
d = 200
Therefore, the distance across the river is 200 ft.
To find the distance, d, across the river, we can set up a proportion based on the given ratios.
The ratio of d to 100 ft is the same as the ratio of 40 ft to 20 ft. So, we can set up the proportion as follows:
d/100 = 40/20
To solve for d, we can cross-multiply and then divide by 20:
d = (40/20) * 100
Simplifying the right side:
d = 2 * 100
d = 200 ft
Therefore, the distance across the river is 200 feet.