An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the ref
inery to storage tanks located on the south bank of the river 10 km east of the refinery. The cost of laying pipe is$200,000/km over land to a point P on the north bank and $400,000/km under the river to the tanks. To minimize the cost of the pipeline, how far from the refinery should P be located? (Round your answer to two decimal places.)
1 answer:
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Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the right triangle ADE
Find the value of h1
See the attached figure
h1=AD
Solve for h1
step 2
In the right triangle ABC
Find the value of h2
See the attached figure
h2=BC
Solve for h2
step 3
Find the height of the neighboring building
we know that
The height of the neighboring building is equal to
substitute the values
Round to the nearest tenth of a foot
