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klio [65]
3 years ago
11

Adam has a rectangular fish tank that measures 5 feet in length, 2 feet in width, and 3.5 feet in height. The tank is completely

filled with water. It is time to clean the fish tank, and Adam decides that the best way to clean the tank is to drain the water from the tank by half. If 1 cubic foot of water is equal to about 7 gallons of water, how much water would Adam have to drain from the fish tank?
A.17.5 gallons
B.35 gallons
C.122.5 gallons
D.245 gallons
Mathematics
1 answer:
Margarita [4]3 years ago
6 0
The answer is A i am pretty sure i would need to check it tho
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Answer:

229.23 feet.

Step-by-step explanation:

The pictorial representation of the problem is attached herewith.

Our goal is to determine the height, h of the tree in the right triangle given.

In Triangle BOH

Tan 60^0=\dfrac{h}{x}\\h=xTan 60^0

Similarly, In Triangle BOL

Tan 50^0=\dfrac{h}{x+60}\\h=(x+60)Tan 50^0

Equating the Value of h

xTan 60^0=(x+60)Tan 50^0\\xTan 60^0=xTan 50^0+60Tan 50^0\\xTan 60^0-xTan 50^0=60Tan 50^0\\x(Tan 60^0-Tan 50^0)=60Tan 50^0\\x=\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0} ft

Since we have found the value of x, we can now determine the height, h of the tree.

h=\left(\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0}\right)\cdotTan 60^0\\h=229.23 feet

The height of the tree is 229.23 feet.

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Step-by-step explanation:

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