How fast is the shadow of the tightrope


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Q: 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)

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?

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)

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Mathematics: How fast is the shadow of the tightrope
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