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Novay_Z [31]
3 years ago
6

A 13-foot ladder leaning against a building meets the side of the building exactly 12 feet above the ground. How far from the bu

ilding is the base of the ladder rounded to the nearest hundredth foot?
Mathematics
1 answer:
Kipish [7]3 years ago
7 0

Answer:

At the moment in question, we have a 5-12-13 right triangle.

x^2 + y^2 = 13^2

2x dx/dt + 2y dy/dt = 0

2(5)(2/3) + 2(12) dy/dt = 0

dy/dt = -5/18 ft/s

the area is 1/2 xy, so

da/dt = 1/2 y dx/dt + 1/2 x dy/dt

= (1/2)((12)(2/3) + (5)(-5/18))

= 119/36

Step-by-step explanation:

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