A trough has a triangular cross section. The trough is 8 ft across the top, 8 ft deep, and 24 ft long. Water is being pumped into the trough at the rate of 5 ft per minute. Find the rate at which the height of the water is increasing at the instant that the height is 5 ft. 8 ft 24 ft 8ift Let V represent the volume of water in the trough, b represent the length across the top of the water in the trough, h represent the depth of the water in the trough, and w represent the length of the water in the trough. What equation will find the volume of the water in the trough? thb OA. V= O B. V 2whb C. Vwhb hb O D. V= 2w At the instant that the height of the water in the trough is 5 ft, the rate at which the height of the water is increasing is

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Please answer for the rate at which the height of the water is increasing at the instant that the height of the water in the trough is 5 ​ft.

A trough has a triangular cross section. The
trough is 8 ft across the top, 8 ft deep, and 24
ft long. Water is being pumped into the trough
at the rate of 5 ft per minute. Find the rate at
which the height of the water is increasing at
the instant that the height is 5 ft.
8 ft
24 ft
8ift
Let V represent the volume of water in the trough, b represent the length across the top of the water in the trough, h represent the depth of the water in the trough, and w represent the length of the water in the trough. What equation will find the volume of the water in the trough?
thb
OA. V=
O B. V 2whb
C. Vwhb
hb
O D. V=
2w
At the instant that the height of the water in the trough is 5 ft, the rate at which the height of the water is increasing is
Transcribed Image Text:A trough has a triangular cross section. The trough is 8 ft across the top, 8 ft deep, and 24 ft long. Water is being pumped into the trough at the rate of 5 ft per minute. Find the rate at which the height of the water is increasing at the instant that the height is 5 ft. 8 ft 24 ft 8ift Let V represent the volume of water in the trough, b represent the length across the top of the water in the trough, h represent the depth of the water in the trough, and w represent the length of the water in the trough. What equation will find the volume of the water in the trough? thb OA. V= O B. V 2whb C. Vwhb hb O D. V= 2w At the instant that the height of the water in the trough is 5 ft, the rate at which the height of the water is increasing is
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