If 5 in and 8 in are legs:
hypotenuse = √(5²+8²) = √89 ≈ 9.4 in.
If 5 in is the leg and 8 in is the hypotenuse:
other leg = √(8²-5²) = √39 ≈ 6.2 in.
<span>The difference between the two possible lengths of the third side =
9.4 - 6.2 = 3.2 in.</span>
Answer:
25/3 ft/s
Step-by-step explanation:
Height of pole , h=15 ft
Height of man, h'=6 ft
Let BD=x
BE=y
DE=BE-BD=y-x
All right triangles are similar
When two triangles are similar then the ratio of their corresponding sides are equal.
Therefore,







Differentiate w.r.t t

We have dx/dt=5ft/s
Using the value

Hence, the tip of his shadow moving with a speed 25/3 ft/s when he is 45 feet from the pole.
Slope: -3
y intercept: 0,5
Answer:

Step-by-step explanation:
We can use the general distance formula between any two points
and
on the plane given by:

We simply identify
with (0, 4) and
with (-6, -3) , thus obtaining:
