Drawing diagram given direction and degrees

[copitlory8]

How would I draw out the following problem: a bird watcher meanders through the woods, walking 0.30 km due east, 0.65 km due south, and 2.25 km in a direction 37.0° north of west?

 

[DaveC426913]

What are you having trouble with? It seems pretty straightforward.

 

[kerimek]

To draw out this problem, you will need a ruler, protractor, and a piece of graph paper. Start by drawing a dot on the graph paper to represent the starting point of the bird watcher's journey. Label this dot as "Start". Next, use the ruler to draw a line 0.30 km long in a due east direction from the "Start" dot. Label the end of this line as "Point A". Then, using the protractor, draw a line 0.65 km long in a due south direction from "Point A". Label the end of this line as "Point B".

Next, to represent the bird watcher's journey of 2.25 km in a direction 37.0° north of west, use the protractor to draw a line at a 37.0° angle from the due west direction. This line should be 2.25 km long. Label the end of this line as "Point C". Finally, draw a line connecting "Point B" and "Point C" to complete the bird watcher's journey.

To ensure accuracy, you can use a scale on the graph paper to represent the distances accurately. For example, if 1 cm on the graph paper represents 0.25 km, then the line representing 0.30 km should be 1.2 cm long. Similarly, the line representing 0.65 km should be 2.6 cm long, and the line representing 2.25 km should be 9 cm long.

This diagram accurately represents the bird watcher's journey through the woods, with the distances and directions clearly labeled. It can also be used to calculate the total distance traveled by the bird watcher, which in this case is approximately 3.20 km.