A water trough with triangular ends is 6 feet long, 4 feet wide, and 2 feet deep

Question

A water trough with triangular ends is 6 feet long, 4 feet wide, and 2 feet deep. Initially, the trough is full of water, but due to evaporation, the volume of the water is decreasing. Let h and w be the height and width, respectively, of the water in the tank t hours after it began to evaporate.

V= 3wh

A) Express w as a function of h

B) Express V as a function of h

C) If the height of the water after t hours is given by:
h(t)= 2- 0.2 vt then express V as a function of t. A water trough with triangular ends is 6 feet long, 4 feet wide, and 2 feet deep. Initially, the trough is full of water, but due to evaporation, the volume of the water is decreasing. Let h and w be the height and width, respectively, of the water in the tank t hours after it began to evaporate.

V= 3wh

A) Express w as a function of h

B) Express V as a function of h

C) If the height of the water after t hours is given by:
h(t)= 2- 0.2 vt then express V as a function of t.

Explanation / Answer

if you draw the diagram you will realize that there are two similar triangles. Therefore, you can write it as 4/w=2/h. A. w=1/h B. V=3.1/h.h

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