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

[Jerome1]

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

 

[MarkFL]

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.

 

[Jerome1]

can you help me with that, i'll do the rest myself if you can draw the triangle for me please.

 

[MarkFL]

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?

 

[Prove It]

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 $\displaystyle \begin{align*} 295^{\circ}\,T = W\,25^{\circ}\,N \end{align*}$...

 

[MarkFL]

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.

 

[Jerome1]

thanks bro...i've gotten the answer

 

[Jerome1]

it's 845, am i correct?

 

[MarkFL]

it's 845, am i correct?

Yes, rounded to the nearest km. :D

In general, you could use:

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

where $\beta$ is the bearing.

 

[timjackson86]

845 is the correct answer.

Tim
<link removed by administrator>