Sunday

October 26, 2014

October 26, 2014

Posted by **Teri** on Friday, June 8, 2012 at 10:04am.

- Math -
**Steve**, Friday, June 8, 2012 at 10:35amwhen the ball is at height h, the shadow is at distance x from the base of the light pole. Using similar triangles,

x/50 = (x-30)/h

h = 50(x-30)/x = 50 - 1500/x

now, h = 50-s = 50-16t^2, so

dh/dt = -32t, and

h(1/2) = 50 - 16(1/4) = 46

x/50 = (x-30)/46, so x=375

-32t = 1500/x^2 dx/dt

at t = 1/2,

-16 = 1500/(140625) dx/dt

dx/dt = -1500

so, the shadow is moving toward the pole at 1500 ft/s

**Answer this Question**

**Related Questions**

calc - A light is at the top of a pole 80ft high. A ball is dropped at the same ...

physics - A man standing 15.0 ft away from a light pole which is an additional ...

calculus - A light is attached to the wall of a building 64 feet above the ...

Math - A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft ...

math - A street light is at the top of a 18 ft tall pole. A woman 6 ft tall ...

maths - solution to the question+from the starting point A, a person goes 10m ...

science - light trsavels at 3*10 m/s. an astrounaut shines a flash light in ...

math - A street light (light source) is 15 m above the ground. A ball is freely ...

Calculus - A street light is at the top of a 17 ft tall pole. A woman 6 ft tall ...

Analytic Geometry(Math) - a person 6 ft. tall s standing near a street light so ...