1. Corina and Drew want to determine the height of a signpost that is next to their house. However, the signpost is too tall to measure. They decide to use their shadows and compare them to the shadow of the signpost.
At 4:00 Pm, Corina measures Drew's shadow to be 63 inches long. Drew is 54 inches tall. Drew then measures Corina's shadow. If Corina's shadow is 56 inches long, how tall is Corina?
1b. At 4:00 PM Corina and Drew also measure the signpost's shadow. The signpost's shadow is 105 inches long. How tall is the signpost?
I don't know how to set it up
1. already answered
2. Use a proportion
54/63 = x/105
a = 7 and k = 2
barry wants to cut a peice of plywood that is 6 1/3 feet long into 9-inch wide strips how many inches are equivalent to 6 1/3
To solve this problem, we can use proportions to find the height of Corina and the signpost. Here's how we can set it up:
1a. Let's represent Corina's height as "x".
We have the following information:
- Drew's shadow is 63 inches long.
- Drew's height is 54 inches.
- Corina's shadow is 56 inches long.
We can set up a proportion between the height and shadow lengths:
Drew's height / Drew's shadow = Corina's height / Corina's shadow
54 / 63 = x / 56
To solve for x, we can cross-multiply:
54 * 56 = 63 * x
3024 = 63x
Then divide both sides by 63 to solve for x:
x = 3024 / 63
x = 48 inches
Therefore, Corina is 48 inches tall.
1b. To find the height of the signpost, we can set up another proportion.
Let's represent the signpost's height as "y".
We have the following information:
- Corina's shadow is 56 inches long.
- The signpost's shadow is 105 inches long.
We can set up a proportion between the height and shadow lengths:
Corina's height / Corina's shadow = Signpost's height / Signpost's shadow
48 / 56 = y / 105
To solve for y, we can cross-multiply:
48 * 105 = 56 * y
5040 = 56y
Then divide both sides by 56 to solve for y:
y = 5040 / 56
y = 90 inches
Therefore, the signpost is 90 inches tall.