Question

Two ships are near a buoy in the open ocean. One ship is 20 km due north of the buoy, and the other ship is 13.5 km due east of the buoy.
Enter a number in the box to correctly complete the statement. Round the answer to the nearest tenth.
The distance between the two ships is _________
km

Answer 1

the awnser th this question is 24.1 took the test hope this helps !!

Answer 2

Answer: The distance between the two ships is 24.1 km.

Step-by-step explanation:

Since we have given that

Distance due to north = 20 km

Distance due to east = 13.5 km

We need to find the distance between the two ships:

Since it forms right angled triangle:

So, we will apply "Pythagorus theorem":

$H^2=B^2+P^2\\\\H^2=20^2+13.5^2\\\\H^2=400+182.25\\\\H^2=582.25\\\\H=\sqrt{582.25}\\\\H=24.12\ km\\\\H=24.1\ km$

Hence, the distance between the two ships is 24.1 km.