if u could also explain how u got ur answer will be very much appreciated The al

Question

if u could also explain how u got ur answer will be very much appreciated

The altitude of a triangle is increasing at a rate of 1.500 centimeters/minute while the area of the triangle is increasing at a rate of 5.000 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 9.000 centimeters and the area is 91.000 square centimeters? Note: The "altitude" is the "height" of the triangle in the formula "Area=(l/2)*base*height". Draw yourself a general "representative" triangle and label the base one variable and the altitude (height) another variable. Note that to solve this problem you don't need to know how big nor what shape the triangle really is.

Explanation / Answer

A=bh/2 ..

dA/dt=1/2(b*dh/dt+h*db/dt)

91=1/2(182/9*dh/dt + 9*1.5)

182-13.5=168.5=182/9*dh/dt

==>dh/dt=8.332418 cm/min

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