A map of a burned area obtined from remote sensing contains 120 pixels. The remote sensing image shows that the fire is isolated to 73 of the 120 pixels.
a) how many km^2 of forest does the image represent?
b) how many km^2 of the forest is burned?
c) how many km^2 of forest remained after the fires?
I know that 1 pixel = 900m^2 but I do not know how to solve these problems.
To solve these problems, we will use the information given about the number of pixels and the area of each pixel. Let's break down each question step by step.
a) To calculate the total area represented by the image, we need to multiply the total number of pixels by the area of each pixel. We are told that there are 120 pixels, and each pixel represents an area of 900m². To find the total area, we can use the formula:
Total Area = Number of pixels × Area of each pixel
Total Area = 120 pixels × 900m²/pixel
To convert the area from square meters to square kilometers, we divide it by 1,000,000 (since 1 km = 1,000 m). So we have:
Total Area = (120 pixels × 900m²/pixel) / 1,000,000
Total Area = 108,000m² / 1,000,000
Total Area = 0.108 km²
Therefore, the map represents an area of 0.108 km².
b) To calculate the area of the forest that is burned, we need to multiply the number of pixels that represent the burned area by the area of each pixel. We are told that there are 73 pixels representing the burned area. Using the same logic as above, we have:
Burned Area = Number of burned pixels × Area of each pixel
Burned Area = 73 pixels × 900m²/pixel
To convert the area from square meters to square kilometers, we divide it by 1,000,000. So we have:
Burned Area = (73 pixels × 900m²/pixel) / 1,000,000
Burned Area = 65,700m² / 1,000,000
Burned Area = 0.0657 km²
Therefore, the area of the forest that is burned is 0.0657 km².
c) To calculate the area of the forest that remained after the fires, we subtract the burned area from the total area.
Remaining Forest = Total Area - Burned Area
Remaining Forest = 0.108 km² - 0.0657 km²
Remaining Forest = 0.0423 km²
Therefore, the area of the forest that remained after the fires is 0.0423 km².