How would I solve this using Sine, Cosine, or Tangent?

Question

anonymous · Answer

Jim and Roger are kayaking from point B to point A in a river. Jim plans to turn at point A and row to point C. Roger plans to turn at point A and row to point D, as shown below.

anonymous · Answer

What will be the distance, in miles, between Jim and Roger at the end of their trip?

.sam. · Answer

You need to find AC
use phytagoras theorem,
$$AC=\sqrt{12^2+5^2}=13$$

anonymous · Answer

Simply you have to find the side CD....
First you find the side AC using pythagoras theorom
and then use cos rule....

chaise · Answer

You will initially need to use pythag, to find the hypotenuse of the right angle triangle.

$$a^2=b^2+c^2$$
$$a^2=5^2+12^2$$
a=sqrt(169)
a=13

Sin(x)=opp/hyp
sin30=opp/13
13*sin30=opp

Everyone knwows sin 30= 1/2.
13*0.5=opp
opp=6.5

the ditstance between them will be 6.5 miles.

.sam. · Answer

Then use sin, $$\sin x=\frac{opposite}{hypotenuse}$$
$$\sin(30)=\frac{opposite}{13}$$
opposite =13sin30=your answer

anonymous · Answer

thank you so much, i really appreciate it greatly!

anonymous · Answer

to both of you guys