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.
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Your unit conversion factor is 900m^2/120 pixels = 1, or 120pixels/900m^2=1
a) convert 73 pixels to km^2
73pixels*900m^2/120pixels = .....
b) convert (120-73)pixels to km^2
(120-73)pixels(900km^2/120pixels)=???
To solve these problems, you need to use the given information and convert the pixel area to km^2. Here's how you can solve each question:
a) To determine the area represented by the image, you need to find the total area covered by the 120 pixels. Given that 1 pixel = 900m^2, you can calculate the total area as follows:
Total area (m^2) = Number of pixels * Area per pixel
Total area (m^2) = 120 pixels * 900m^2/pixel
To convert the total area from square meters to square kilometers, you need to divide it by 1,000,000 (since 1 km^2 = 1,000,000 m^2). Therefore:
Total area (km^2) = (120 pixels * 900m^2/pixel) / (1,000,000 m^2/km^2)
b) To determine the area of the forest that is burned, you know that 73 pixels represent the burned area. Therefore, you can calculate the burned area in square kilometers by using the same conversion factor:
Burned area (km^2) = (73 pixels * 900m^2/pixel) / (1,000,000 m^2/km^2)
c) To determine the remaining area of the forest after the fire, you can subtract the burned area from the total area:
Remaining area (km^2) = Total area (km^2) - Burned area (km^2)
Now you can use these formulas to calculate the answers to your questions.