A Plane Flying Horizontally at an Altitude of 1 Km $125 \sqrt { 3 } \mathrm {~km} / \mathrm { h }$

question 29

Multiple Choice

A plane flying horizontally at an altitude of 1 km and a speed of 500 km/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 km away from the station.

• A) \(125 \sqrt { 3 } \mathrm {~km} / \mathrm { h }\)
• B) \(175 \sqrt { 3 } \mathrm {~km} / \mathrm { h }\)
• C) \(250 \sqrt { 3 } \mathrm {~km} / \mathrm { h }\)
• D) \(275 \sqrt { 3 } \mathrm {~km} / \mathrm { h }\)
• E) \(125 \sqrt { 2 } \mathrm {~km} / \mathrm { h }\)
• F) \(175 \sqrt { 2 } \mathrm {~km} / \mathrm { h }\)
• G) \(250 \sqrt { 2 } \mathrm {~km} / \mathrm { h }\)
• H) \(275 \sqrt { 2 } \mathrm {~km} / \mathrm { h }\)

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