246,210 views
32 votes
32 votes
A plane flies from Dubbo on a bearing of 139° for 852 km, then turns and flies on a bearing of 285° until it is due west of Dubbo. How far from Dubbo is the plane, to the nearest km?

User Egglabs
by
2.7k points

2 Answers

12 votes
12 votes

Final answer:

The distance of the plane from Dubbo is approximately 778 km.

Step-by-step explanation:

To find the distance from Dubbo to the plane, we need to calculate the distance the plane traveled along its flight path. The plane first flies on a bearing of 139° for 852 km, and then turns and flies on a bearing of 285° until it is due west of Dubbo. We can break down the plane's displacement into its north-south and east-west components.

Using vector addition, we can find the north-south and east-west distances.

North-south component: Distance = 852 km × sin(139° - 180°) = -454.19 km (negative because it's going south)

East-west component: Distance = 852 km × cos(139° - 180°) = -625.88 km (negative because it's going west)

To find the distance from Dubbo, we use the Pythagorean theorem: Distance = √((-454.19 km)^2 + (-625.88 km)^2) = 778 km (rounded to the nearest km).

User Ryan Ye
by
3.4k points
20 votes
20 votes

Answer:

Step-by-step explanation:

So first you add them together which gives you infinity and then you divide infinity by (139+285) then keep doing it until you realise this is a scam

User Oggy
by
2.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.