Astreet light is at the top of a 13 foot tall pole. a 6 foot tall woman walks away from the pole with a speed of 7 ft/s along a straight path. how fast is the tip of her shadow moving when she is 40 feet from the base of the pole?
the tip of the shadow is moving at
(include units in your answer)

13.00 ft/s

Step-by-step explanation:

Given

H = the height of the pole = 13 ft

h = the height of the woman = 6 ft

 x = the length of the woman's shadow.

 s = the distance from the pole to the woman = 40 ft

ds/dt = the constant rate at which the woman is walking = 7 ft/s  

By similar triangles,  H / h = (s + x) / x    ⇒    H*x = h*(s + x).

Differentiating,

H*dx/dt = h*(ds/dt + dx/dt)

 ⇒   13*dx/dt = 6*(7 + dx/dt) = 42 + 6*dx/dt

⇒   7 dx/dt = 42

dx/dt = 6 ft/s   for how fast her shadow is lengthening.

The speed of the tip of her shadow would be this speed added to her traveling speed: 6 ft/s + 7 ft/s = 13.00 ft/s.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw