AVTIVITY III 1. What is the straight-line distance, in feet, between the drainage grate between the amphitheater and Cole Hall (Location One) and the home plate at Yogi Berra Stadium (Location Four)? Show ALL your calculations in the space proved.

1. What is the straight-line distance, in feet, between the drainage grate between the amphitheater and Cole Hall (Location One) and the home plate at Yogi Berra Stadium (Location Four)? Show ALL your calculations in the space proved. Ans- We have Coordinates of location 1 –( drainage grate) - 40° 51.593’ N, 74° 11.936’ W - Coordinates of location 4 (the home plate at Yogi Berra Stadium)- 40° 52.117’ N, 74° 11.711’ W So the right angle triangle have 3 points likely (40° 51.593’ N, 74° 11.936’ W ), ( 40° 52.117’ N, 74° 11.711’ W) and (40° 51.593’ N, 74° 11.711’ W) . We know that for Longitude 1 degree= 52.505 miles, 1 minute= 4620.5 feet For latitude 1 degree = 69.005 miles and 1 minute = 6072.5 feet The length of side A (40° 51.593’ N, 74° 11.936’ W & 40° 51.593’ N, 74° 11.711’ W) is = =√ (40° 51.593’ N -40° 51.593’ N)2 + (74° 11.936’ W - 74° 11.711’ W)2 = √ 02 + 0.2252 = 0.225 = 0.225ˣ 4620.5 feet = 1039.61 ft The length of side B (40° 52.117’ N,74° 11.711’ W & 40° 51.593’ N, 74° 11.711’ W) = √( 40° 52.117’ N -40° 51.593’ N )2 – (74° 11.711’ W -74° 11.711’ W)2 = √ 0.5242 – 02 = 0.524ˣ6072.5 feet= 3181.99 ft So the length of C that is the straight line distance = C = √(1039.61)2 +( 3181.99)2 = √ 1077670.12 + 10125060.4 = √11,202,730.5 = 3347.04 ft