Question

A fence post is 52.0 m from where you are standing, in a direction 37.0° north of east. A second fence post is due south from you. How far are you from the second post if the distance between the two posts is 68.0° m?

Answer 1

Answer:

22.5 [m] is the distance from the person to the second post.

Explanation:

We can solve this problem graphically, first place the position of the person at the origin of x-y coordinates.

Then we locate the first post (1), tracing a line (or vector) with a length of 52 [m] from the origin of coordinates and with an angle of 37 ° north of East.

And for finding the distance from the second post (2) with respect to the person, we have to draw a line that has a length of 68 [m] and this line must be crossed with the y-axis and in the negative direction, in this way we can find the distance from the post with respect to the person.

Note: we can use set square and protractor to solve this problem

In the attached image we can find the graphic solution.

By this method of construction we can find the distance of post number 2 from the person and this is 22.55 [m] to the South