Mathematics, 10.01.2021 18:40 rachelsweeney10
A submarine travels 6.6 km due West from its base and then turns and travels due South for 3.9
km.
How far away is the submarine from its base?
Give your answer rounded to 1 DP.
Answers: 1
km
km and 
km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, 
, where 
and 
are the lengths of the triangle's legs and 
is the length of the triangle's hypotenuse. In this case, we know what 
(Substitute 
and 
into the equation)
(Evaluate the squares on the LHS)
(Simplify the LHS)
(Symmetric Property of Equality)
(Take the square root of both sides of the equation)
(Simplify)
is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately 
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A submarine travels 6.6 km due West from its base and then turns and travels due South for 3.9
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