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Home » Let height \( h \), then length \( l = 2h \), width \( w = h + 3 \). - go-checkin.com

Let height \( h \), then length \( l = 2h \), width \( w = h + 3 \). - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A cartographer is analyzing satellite imagery with a resolution of 0.5 meters per pixel. If a forested region covers 3,200 pixels in width and 4,800 pixels in height on the image, what is the actual area of the forest in square kilometers?

📌 Each pixel represents 0.5 meters, so width = 3,200 × 0.5 = <<3200*0.5=1600>>1,600 meters.

📌 Height = 4,800 × 0.5 = <<4800*0.5=2400>>2,400 meters.

📌 Area = 1,600 × 2,400 = <<1600*2400=3840000>>3,840,000 square meters.

📌 Convert to square kilometers: 3,840,000 ÷ 1,000,000 = <<3840000/1000000=3.84>>3.84 km².

📌 A cartographer is calculating the gradient of a mountain trail that rises from 850 meters to 2,150 meters over a horizontal distance of 12.5 kilometers. What is the percent grade of the trail?

📌 Elevation gain = 2,150 − 850 = <<2150-850=1300>>1,300 meters.

📌 Horizontal distance = 12.5 km = 12,500 meters.

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