You are making punch for a team party using 3 liquids. you combine 2 gallons and 3 quarts of fruit punch, 1 gallon and 2 quarts of pineapple juice, and 3 gallons and 3 quarts of orange juice. at least how much liquid should your container be able to hold?

The least amount of  liquid that the container be able to hold is:

                             8 gallons.

We know that the basic conversion is:

Now, it is given that:

You combine 2 gallons and 3 quarts of fruit punch

i.e. You combine:

of fruit punch.

1 gallon and 2 quarts of pineapple juice

i.e. You combine:

of pineapple

and 3 gallons and 3 quarts of orange juice

i.e. . You combine:

of orange juice.

The total amount of liquid that is added is:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,