If you say x = distance from pole to the woman and z = distance from the pole to the tip of her shadow, from similar triangles, you can write:
z/16 = (z-x)/6. (1)
We also know that the woman is moving at 7 feet/second or dx/dt = 7
You need to find dz/dt when x = 45. When you differentiate equation (1) with respect to t, you get:
(1/16)*dz/dt = (1/6)(dz/dt - dx/dt), or
6*dz/dt = 16(dz/dt - dx/dt), or 10*dz/dt = 16*dx/dt or dz/dt = 1.6*dx/dt
which means the distance 45 does not enter into the equation.
Plug dx/dt = 7, you get dz/dt = 1.6*7 = 11.2 feet/sec.
Answer:
D(11) = 37.660 m
dD/dt = 2.7260 m/s
Explanation:
given data
two path apart = 17 m
walks east one path = 4 km/h = 1.111 m/s
walks west other path = 7 km/h = 1.944 m/s
pass each other time t = 0
solution
we consider here east is the positive direction and west is the negative direction
so that
the east - west distance between them is = 1.111 + 1.944 = 3.055 m/s
and
the actual distance between them time t is
D(t) =
at time 11 s
D(11) =
D(11) = 37.660 m
and
increase rate is dD/dt
dD/dt =
so for 11 sec
dD/dt =
dD/dt = 2.7260 m/s
To solve this problem we will resort to the concept of angle of incidence and refraction.
Since it is a reflection on a mirror, the angle provided for refraction will be equal to that of the incidence, that is, 25 °
The angle of reflation is always perpendicular to the surface so it is necessary to find the angle with respect to it.
Therefore the angle of the reflected beam of light made with the surface normal is 65°
Answer:
the correct statement is
* atoms cannot be created or destroyed
Explanation:
The Datlon atomic model was proposed in 1808 and represents atoms as the smallest indivisible particle of matter, they were the building blocks of matter and are represented by solid spheres.
Based on the previous descriptive, the correct statement is
* atoms cannot be created or destroyed
A. 4% you divide 2000 to 500 and you get 4 which is your answer