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A ship sails due north from point P to point Q,4km away.It then sails on a bearing of 090^0 to point R, 3kmfrom Q. i)llustrate the information in a diagram form. ii)calculate the length of PR.

Respuesta :

The length of PR of the given ship direction and bearing is; 5 km

How to use Pythagoras Theorem?

We are given;

Point P to point Q is 4km away. Thus;

PQ = 4Km due north

Point R is 3km from Q. Thus;

QR = 3Km due east/west.

The resultant length PR would be found by using Pythagorean theorem since one of the angles is 90 degrees and would form a right angle. Thus;

PR = √(3² + 4²)  = 5Km

Now, the angles in the triangle would be calculated using trigonometric ratios.

sin θ1 = 3/5

sin θ2 = 4/5

Thus, we have θ = 53.13° and 36.87°

Read more about Pythagoras Theorem at; https://brainly.com/question/231802

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