Answer:
Step-by-step explanation:
ignore the "at the instant the man is 30 feet away" part, set it as X and the man's shadow as Y.
Similar triangles so we can do
.
Solve for it we get 44y = 6x
Differentiate relative to time t, we get 44y' = 6x'.
change in x (x') is equal to 5. And we get the answer y' =
.
the
ft/sec is the rate of which the length of the shadow is changing. add 5 to it for the rate of the tip of his shadow moving away from the tower.
Answer:

Step-by-step explanation:
The given expression is;

This implies that;

Equate the exponents;

Expand;




Answer:
the correct answer is C
Step-by-step explanation:
Answer:
Height after 5 seconds is <em>215 ft</em>
Step-by-step explanation:
Given that:
The initial velocity of object which is projected upwards is 123 ft/sec.
Height of the object, <em>h</em> after time <em>t </em> in seconds, is given as:

Here, <em>t </em>will always be positive, so
and
will also be positive.
But coefficient of
is negative, that means something is subtracted from the positive term
.
To find:
Height of object after 5 seconds.
Solution:
Given that
seconds.
Let us put the value in the given relation of
and
:

So, height after 5 seconds is <em>215 ft</em>.
Answer:
42.5 Cubic Yards
Step-by-step explanation:
To find volume of a rectangle you do length*width*height to get the volume, so 17*15*0.5(because 6 inches is half of a foot) you get 127.5, but they're asking for it in yards not feet so you need to divide 127.5 by 3 and that will give you 42.5.