A tightrope is stretched 30 ft above the ground between Building 1(at point A) and Building 2( point B), which are 50 ft apart. A tightrope walker, walking at a constant rate of 2 feet per second from point A to point B, is illuminated by a spotlight 70 feet above point A.

a) how far from point A is the tightrope walker when the shadow of her feet reaches the base of building 2?(indicate units of measure) PLEASE SHOW WORK

b) how fast is the shadow of the tightrope walker's feet moving up the wall of building 2 when she is 10 feet from point B? PLEASE SHOW WORK

Bldg #1 Bldg #2
--------- ---------
l l l l
l l l l
l l l l
l30 Ft. A------------B l
l high ^l l l
l ^l l l
-------^-->---50 ft---<-------
l
(between buildings)

Solution Summary

The speed of a shadow is found. The solution is detailed and well presented. A diagram is included.

A peg on a turntable moves with a constant linear speed of 0.67 m/s in a circle of radius 0.45 m. The peg casts a shadow on a wall. Find the following quantities related to the motion of the shadow: (a) the period, (b) the amplitude, (c) the maximum speed, and (d) the maximum magnitude of the acceleration.

I need to determine how fast a shadow is moving up a wall. Given the heigth of the wall the height if the object that cast the shadow. The length of the wire the object moves on, and the height of the light that casts the shadow. I have worked out the
first sections in an Excel 2000 spreadsheet but I need a push in the right di

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Please assist me with understanding the following questions:
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Note: You should draw a picture of a right triangle with the vertical side representing the pole,

1.Water is poured into a conical funnel at a rate of 1 cm3/s. The radius of the top of the funnel is 10 cm and the height of the funnel is 20 cm. Find the rate at which the water level is rising when it is 5 cm from the top of the funnel.
I know that I am suppose to use the volume of the cone
V=1pi r2h
3
2.A ligh