A plane flies horizontally at an altitude of 2 km and passes directly over a tracking telescope on the ground. When the angle of elevation is pi/3, this angle is decreasing at a rate of pi/3 rad/min. How fast is the plane traveling (in km/min) at that time? (Round your answer to two decimal places.) ___ km/min
A plane flies horizontally at an altitude of 2 km and passes directly over a tracking telescope on the ground. When the angle of elevation is pi/3, this angle is decreasing at a rate of pi/3 rad/min. How fast is the plane traveling (in km/min) at that time? (Round your answer to two decimal places.) ___ km/min
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. A plane flies horizontally at an altitude of 2 km and passes directly over a tracking telescope on the ground. When the angle of elevation is pi/3, this angle is decreasing at a rate of pi/3 rad/min. How fast is the plane traveling (in km/min) at that time? (Round your answer to two decimal places.)
___ km/min
2. Water is leaking out of an inverted conical tank at a rate of 11,500 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate (in cm3/min) at which water is being pumped into the tank. (Round your answer to the nearest integer.)
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