Discover the Distance Between Banjul and Accra: 2000 km & a Bearing of 295°"

  • MHB
  • Thread starter Jerome1
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In summary, the distance between Banjul and Accra is approximately 2000 km, with a bearing of 295° which corresponds to W 15° N. Using the trigonometric function, the distance north of Accra can be calculated as 845 km.
  • #1
Jerome1
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0
Banjul is approximately 2000 km from Accra. The bearing of Banjul from Accra is 295°. How far north of Accra is Banjul

please give me a clue on how to do this
 
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  • #2
Can you draw a right triangle, with another known angle and hypotenuse? Then you can use a trig. function to get the unknown side corresponding to the distance you are asked to find.
 
  • #3
can you help me with that, i'll do the rest myself if you can draw the triangle for me please.
 
  • #4
A bearing of 295° corresponds to W 15° N...so we may draw the following:

View attachment 2818

$y$ is the distance you want...can you proceed?
 

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  • #5
MarkFL said:
A bearing of 295° corresponds to W 15° N...so we may draw the following:

View attachment 2818

$y$ is the distance you want...can you proceed?

Surely you mean $\displaystyle \begin{align*} 295^{\circ}\,T = W\,25^{\circ}\,N \end{align*}$...
 
  • #6
Prove It said:
Surely you mean $\displaystyle \begin{align*} 295^{\circ}\,T = W\,25^{\circ}\,N \end{align*}$...

D'oh! (Doh)

Indeed I do. 295 - 270 = 25...yep.
 
  • #7
thanks bro...i've gotten the answer
 
  • #8
it's 845, am i correct?
 
  • #9
Jerome said:
it's 845, am i correct?

Yes, rounded to the nearest km. :D

In general, you could use:

\(\displaystyle y=2000\cos(\beta)\)

where $\beta$ is the bearing.
 
  • #10
845 is the correct answer.

Tim
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FAQ: Discover the Distance Between Banjul and Accra: 2000 km & a Bearing of 295°"

What is the distance problem?

The distance problem refers to the challenge of determining the distance between two points in space. It is a common problem in various fields such as physics, mathematics, and engineering.

What causes the distance problem?

The distance problem is caused by the fact that space is not a flat, two-dimensional surface. In reality, space is a three-dimensional and constantly changing entity, making it difficult to accurately measure the distance between two points.

How is the distance problem solved?

The distance problem can be solved using various methods, depending on the context and available information. Some common solutions include using mathematical equations, using specialized tools such as GPS or lasers, or using principles of geometry and trigonometry.

What are some real-world applications of the distance problem?

The distance problem has many real-world applications, such as calculating the distance between planets in space, determining the distance between two objects on Earth for navigation purposes, or measuring the distance between two points on a map for urban planning.

Are there any limitations to solving the distance problem?

Yes, there are limitations to solving the distance problem. These limitations can include errors in measurement, lack of accurate information, and the complexity of the problem itself. Additionally, factors such as atmospheric conditions can also affect the accuracy of distance calculations.

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