A fishing trawler sails from Port P in the direction 024° for 30 km and then in the direction 114° for 20 km.
Calculate:
a) The distance and bearing of the trawler from P
b) The direction in which the trawler must sail in order to return to P
please give answer with a diagram
Answers
Given:
A fishing trawler sails from Port P in the direction 024° for 30 km and then in the direction 114° for 20 km.
To find:
Calculate:
a) The distance and bearing of the trawler from P
b) The direction in which the trawler must sail in order to return to P
Solution:
The distance and bearing of the trawler from P
A fishing trawler sails from Port P in the direction 024° for 30 km and then in the direction 114° for 20 km.
114° - 24° = 90°
⇒ those two lines with distance line form a rt. angled triangle.
Therefore, the distance is calculated using distance formula.
Distance = √ (30² + 20²) = √ (900 + 400) = √ 1300 = 36 km.
The direction in which the trawler must sail in order to return to P
The angle made by distance to original direction is given by,
= cos^-1 ( 30 km / 36 km)
= cos^-1 ( 30/36 )
= 33.6
so bearing of final point is,
= 24° + 33.6°
= 57.6°
so trawler has to sail 180° + 57.6° = at bearing 237.6° from final point to reach port P.
Answer:hahah
Step-by-step explanation: