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sdas [7]
3 years ago
10

An oak tree is 60 ft cast a 40ft shadow how far is it from the top of the shadow to top of tree

Mathematics
2 answers:
svet-max [94.6K]3 years ago
6 0

Answer: 72.111

Step-by-step explanation:

Katena32 [7]3 years ago
5 0

Answer:

You have to use pythagorean theorum. a^2 + b^2 = c^2 where c is the hypotenuse. So the answer is the square root of 60^2 + 40^2 which is 20 square root 13 (20 root 13)

Step-by-step explanation:

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Step-by-step explanation:

The volume of the conical pile is given by

V = \dfrac{\pi}{3}r^2h

Taking the derivative of V with respect to time, we get

\dfrac{dV}{dt} = \dfrac{\pi}{3}\dfrac{d}{dt}(r^2h)

\:\:\:\:\:\:\:= \dfrac{\pi}{3}\left(2rh\dfrac{dr}{dt} + r^2\dfrac{dh}{dt}\right)

Since r is always equal to h, we can set

\dfrac{dr}{dt} = \dfrac{dh}{dt}

so that our expression for dV/dt becomes

\dfrac{dV}{dt} = \dfrac{\pi}{3}\left(3r^2\dfrac{dh}{dt}\right)

\:\:\:\:\:\:\:= \pi r^2\dfrac{dh}{dt}

Solving for dh/dt, we get

\dfrac{dh}{dt} = \dfrac{1}{\pi r^2}\dfrac{dV}{dt}

\:\:\:\:\:\:\:= \dfrac{1}{9\pi\:\text{m}^2}(36\:\text{m}^3\text{/s})

\:\:\:\:\:\:\:= \dfrac{4}{\pi}\:\text{m/s}

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Step-by-step explanation:

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