contestada

A boat travelled 12.8 km at a bearing
of 065°, then travelled 8.7 km at a
bearing of 285°.
How far is the boat from its starting
position?
Give your answer to 1 d.p.

A boat travelled 128 km at a bearing of 065 then travelled 87 km at a bearing of 285 How far is the boat from its starting position Give your answer to 1 dp class=

Respuesta :

culveryolanda46

Answer:

8.3 km

Step-by-step explanation:

Drawing the diagram gives us the screenshot.

This gives us a triangle with an angle of 40 degrees.

We can use law of cosines and get the following formula

[tex]c^2=a^2+b^2-2abcos(C)[/tex]

[tex]c^2=12.8^2+8.7^2-2(12.8)(8.7)cos(40)\\c=8.3 km[/tex]

Ver imagen culveryolanda46