Sarina is traveling to London with nine of her friends. They are very excited to see all of the typical tourist attractions, including The London Eye. The Eye is a cantilevered observation wheel that sits on the banks of a famous river called the Thames. The London Eye is somewhat similar to a Ferris wheel, but instead of open gondolas, passengers travel around the wheel in an enclosed pod. The London Eye has 32 pods, and each pod can hold up to 25 people. The Eye is 120 meters in diameter, and the cost for an adult ticket is about $35. For this price you travel around the wheel once, and one rotation of the wheel takes 30 minutes.  While Sarina is preparing for the trip, one of her travel friends sends out a group text. She has discovered that the London Eye is hosting a special evening charity event while they will be in town. For $2,500, you can rent one of the pods for up to 25 people. Food, beverages, and music will be provided in the pod, and the Eye will rotate at its normal speed for an hour. At the end of the hour a boat on the Thames will put on a fireworks show. Sarina's friend wants to know if the group would be interested in attending this event and splitting the cost evenly.  Sarina isn't sure if the cost of the event is worth the price. She does some reading on the London Eye and discovers that several previous riders say that you see the best part of the London skyline about 3.75 minutes after boarding the pod. Another previous rider agrees with this assessment but adds that he had a nice view of that particular section of the skyline four times.  What would you advise Sarina to do? Should she agree with split the costs of a private pod with her friends or should she push the group to take a regular spin on the London Eye during the day? Use what you know about the unit circle and the relationships among its angles to support your reasoning. Show your mathematical calculations as needed. Use complete sentences and paragraphs in your answer.