Mathematics: Aman walks along a straight path at a speed of 4ft/s. a searchlight is located on the ground 20ft from the path and is kept focused on the man. at what rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight.

Aman walks along a straight path at a speed of 4ft/s.

Ответ:

christopherluckey7

17.01.2022

Now note that tan(y) = x=20,
so that sec^2y *dy/dt=1/20 dx/dt
At the instant described in the problem,
x = 15 and the hypotenuse of the above triangle
thus has length 25,
so we compute: (25/20)^2 dy/dt=1/20*4 ==>dy/dt=1/2*400/625

=16/125 rad/sec

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Ответ:

robert7248

08.09.2022

Mathematics

1,4 and 5

Step-by-step explanation:

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Aman walks along a straight path at a speed of 4ft/s. a searchlight is located on the ground 20ft from the path and is kept focused on the man. at what rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight.

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