On the relationship between the sides and angles of a right triangle A ship sails 10km from port a to port B 60 ° NBE, and then sails 10km to port C 30 ° NBW 1) The distance between a and C ports (the result is accurate to 0.1km); 2) What is the direction of port C in port a?

On the relationship between the sides and angles of a right triangle A ship sails 10km from port a to port B 60 ° NBE, and then sails 10km to port C 30 ° NBW 1) The distance between a and C ports (the result is accurate to 0.1km); 2) What is the direction of port C in port a?

Let's calculate the angle first. Let n be due north
∠ABn=180°-∠BAn=120°,∠ABC=∠ABn-∠CBn=90°
So △ ABC is an isosceles right triangle
AC=10√2km≈14.1km
At this time ∠ can = 60 ° - 45 ° = 15 °
So C is 15 ° north by east of A

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