SOLUTION: hello can you help me with a step by step approach with the aid of a diagram for the following question. Question A ship sail 12 km due north of a port and then sails 14 km d

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Question 287260: hello can you help me with a step by step approach with the aid of a diagram for the following question.
Question
A ship sail 12 km due north of a port and then sails 14 km due east.
(a) How far is the ship from the port?
(b) How much farther east will it have sailed when it is 30 km from the port?
Thank you
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A ship sail 12 km due north of a port and then sails 14 km due east.
(a) How far is the ship from the port?
Draw the picture.
You have a right triangle with a north leg of 12 and an east leg of 14
Use Pythagoras to find the hypotenuse:
h^2 = 12^2 + 14^2
h = sqrt(340)
hypotenuse = distance from port = 18.44 km
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(b) How much farther east will it have sailed when it is 30 km from the port?
Draw the picture.
You have a right triangle with a north leg of 12, an east leg of "x"
and a hypotenuse of 30
----
30^2 = 12^2 + x^2
x^2 = 30^2-12^2
x^2 = 756
x = 27.5 km
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It will have sailed 27.5-14 = 13.5 km further east.
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Cheers,
Stan H.