A hospital H receives a report about a serious road accident at C. An ambulance reaches the scene by travelling 5 km north, 15 km east, then 3 km north. A helicopter travels directly from H to C. Their paths intersect at X. Find the distance from the hospital to X.
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HX/HC = 5/(5+3) HX = (5/8)HC
The distance HC can be found using the Pythagorean theorem. HC^2 = 8^2 +15^2 = 289 HC = √289 = 17 so ... HX = (5/8)(17) = 10 5/8
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