An engineer wants to build a bridge across a gorge as shown in the figure above. To calculate the length the bridge will need to be, L, she chooses two points directly across the gorge from each other to form one side of a right triangle and then another point that is 20 m apart from one of the first points to make the other side of the right triangle. She calculates the angle opposite the longer side to be 60°.

What is the distance across the gorge, L? Round to the nearest hundredth of a meter.
A.
34.64 m
B.
17.32 m
C.
10 m
D.
40 m

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.