As a part of their weather unit, anoki’s science class took a hot air balloon ride. as they passed over a fenced field, the angle of depression of the closer side of the fence was 32°, and the angle of depression of the farther side of the fence was 27°. if the height of the balloon was 800 feet, estimate the width of the field. round your answer to the nearest foot. 2016_01_25_17_23_501.jpg the width of the field is about feet

Please refer to the figure attached for the diagram of this problem.

Steps needed to find the width of the field (CD):

First, we should note that angle d would be equal to 27 degrees because there are two parallel lines that are cut by a transversal. Furthermore, angle a would be equal to 5 degrees since we just need to subtract 27 from 32.

We then subtract 27 and 5 from 180 to get angle c. . Angle c is therefore 148 degrees.

Next, we need to find angle e which is just the supplementary of angle c. Angle e therefore measures  degrees.

For the next step we use sine law to find the length of segment AC:



Lastly, we need to utilize the sine law again to find the length of segment CD or the width of the field:



ANSWER: The width of the field is 290 ft.