<span> we suppose that x be distance of man from spot light is
so 12-x is distance from man to wall
we will draw first triangle ABC, where
a= spotlight (on ground)
b= man (feet)
c= man (head)
we know that AB = x and BC = 2
by extend line AB to the wall at point D and extend line AC to the wall at point E
AD = 12 (distance from spotlight to wall)
DE = s (length of shadow)
Now triangles ABC and ADE are similar
Therefore DE/AD = BC/AB
s / 12 = 2 / x
s = 24 / x
Differentiate both sides with respect to t
ds/dt = -24/x² dx/dt
Man is walking toward building at speed of 16 ms
dx/dt = 16
Man is 4 m from the building/wall
12 - x = 4
x = 8
Find ds/dt when x = 8 and dx/dt = 16
ds/dt = -24/x² dx/dt
ds/dt = -24/(64) * 16
ds/dt = -6
So length of shadow is decreasing at rate of 6 m/s
hope it helps
</span>
The true answer is the choice A
Scientists <span>can predict volcanic eruptions as long as adequate resources are available.Volcanic eruptions are one of the earthly activities which can be predicted by means of adequate resources (w</span><span>arming of the earth's crust, appearance of volcanic lava etc...). By contrast, earthquakes is a dangerous natural </span>disaster<span> that scientists cannot be predicted or mastering the time where it occurs.</span>
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Answer:
The correct answer is: in the magma chamber.
Explanation:
The volcanoes are creating igneous rocks, and they can be intrusive and extrusive. The intrusive ones are forming deep into the ground, while the extrusive are forming on the surface. Where the rocks are formed makes a big difference in their crystals size. The rocks that form by magma that has cooled the deepest into the ground would have the largest crystals, thus the coarsest grains. The reason for this is that the magma that has been cooling the deepest into the ground will be exposed to higher temperatures and pressures, which will lead to a very slow cooling off. Because the cooling off will be at such a slow rate, the crystals will have enough time to became much larger. The deepest part of a volcano is its magma chamber, thus it will be the place that will produce the coarsest grained igneous rocks.
