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veron
Mar 23, 2009, 10:45 AM
A ship sailed from Port K to Port L. Port L is located 28km East and 16km South of Port K.
Calculate the distance of KL and the bearing of Port L from Port K.
Give answer correct to 3 significant figures.

Perito
Mar 23, 2009, 10:48 AM
This requires only the Pythagorean Theorem:

R^2 = X^2 + Y^2

where X and Y are the two sides of the right triangle and R is the side opposite the 90 degree angle.

galactus
Mar 23, 2009, 11:16 AM
Also, the bearing can easily be calculated from the two given distances.

Per the diagram:

@=tan^{-1}(\frac{16}{28})

Do you want a bearing or an azimuth? There is a difference.

An azimuth is an angle turned clockwise off due north. For that, just add the answer from above to 90 degrees.

A bearing is done in quadrants, as in land deeds.

Your bearing would be S[90-(\text{the above answer})]E

ebaines
Mar 23, 2009, 11:18 AM
The bearing from Port K to L can be calculated from arctan(16/28) - this is the angle south of east, so add 90 degres to get a bearing from north.

dug2pak
Sep 1, 2009, 02:15 AM
Pythagorean Theorem...

The hypotenuse is equivalent to the square root of the sum of the square of both sides.

abuanremedios
Jan 11, 2010, 02:04 AM
What is the difference between north 60 degree from 60 dergee northeast

abuanremedios
Jan 11, 2010, 02:05 AM
what is the difference between north 60 degree from 60 dergee northeast


:)