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A kite is rising vertically at a constant speed of 2 m/s from a location at ground level, which is 8 m away from the person handling the string of the kite as shown in Fig. 2 below. kite 8m Person Fig. 2 i. Let z be the distance from the kite to the person. Find the rate of change of z with respect to time, t, when z = 10 m. ii. Let x be the angle the string makes with the horizontal. Find the rate of change of x with respect to time, t, when the kite is y = 6 m above ground.

A kite is rising vertically at a constant speed of 2 m/s from a location at ground level, which is 8 m away from the person handling the string of the kite as shown in Fig. 2 below. kite 8m Person Fig. 2 i. Let z be the distance from the kite to the person. Find the rate of change of z with respect to time, t, when z = 10 m. ii. Let x be the angle the string makes with the horizontal. Find the rate of change of x with respect to time, t, when the kite is y = 6 m above ground.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 14P
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A kite is rising vertically at a constant speed of 2 m/s from a location at ground level, which is 8 m away from the person handling the string of the kite as shown in Fig. 2 below. kite y 8m Person Fig. 2 i. Let z be the distance from the kite to the person. Find the rate of change of z with respect to time, t, when z = 10 m. ii. Let x be the angle the string makes with the horizontal. Find the rate of change of x with respect to time, t, when the kite is y = 6 m above ground.
Transcribed Image Text:A kite is rising vertically at a constant speed of 2 m/s from a location at ground level, which is 8 m away from the person handling the string of the kite as shown in Fig. 2 below. kite y 8m Person Fig. 2 i. Let z be the distance from the kite to the person. Find the rate of change of z with respect to time, t, when z = 10 m. ii. Let x be the angle the string makes with the horizontal. Find the rate of change of x with respect to time, t, when the kite is y = 6 m above ground.
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