A point X is 34m due east of a point Y. The bearing of a flagpole from X and Y are N18W and N40E respectively calculate the distance of the flag pole from Y

The answer is "38.130".

Step-by-step explanation:

Given:

Draw Y and X triangles on the underside, and F above them.

Because F is    west from X, so FXY angle measurement from X  because F is located  east of north from Y, then

     measure of angle

 the measure of angle

Using Law of Sines:  

 Cross Multiply:  

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.