Answered

In Hillsboro, the library is 6.2 kilometers due south of the courthouse and 4.6 kilometers due west of the community swimming pool. What is the distance between the courthouse and the community swimming pool? If necessary, round to the nearest tenth.



Answer :

regalmocha17

Answer:

7.72 km or 7.70 km

Step-by-step explanation:

We can solve this problem using the pythagorean theorem since the distance between the library and the courthouse represents one of the legs while the distance between the library and the community swimming pool is another leg. We are asked to find the distance between the courthouse and the swimming pool which serves as the hypotenuse.


Pythagorean Theorem:

a^2 + b^2 = c^2

In this case:

a = 6.2

b = 4.6

c = ?

Substitute and solve.

6.2^2 + 4.6^2 = c^2

c^2 = 59.6

c = sqrt(59.6)

c = 7.72 approx

round to nearest tenth if needed

c = 7.70 km

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