A rectangular park had a dirt path across its diagonal that was 100 yards long. The diagonal and the long side of the park formed an angle that measured 30. A person walked along the sidewalks outside the park, from the start to the end of the path, as shown by the arrows.
The diagonal dirt path that cuts across the rectangular park and the sidewalks outside the park form a right triangle. The dirt path is the hypotenuse and it is labeled 100 yards. The start of the sidewalk is adjacent to the 30-degree angle, and it is labeled X. The end of the path is opposite the 30-degree angle, and it is labeled Y.
Which expression shows the distance that he walked?
A) 100tan 30+ 100tan 60 = 231 yards
B) 200tan 30 = 115 yards
C) 100xos 30 + 100sin 30= 137 yards
D) 100cot30 = 173 yards
1 answer
B) 200tan 30 = 115 yards