Choose a room in your home where the walls meet at a right angle. Suppose a triangular desk will be built in the corner of that room. It will be in the shape of a 30-60-90 right triangle. The length of the longer leg of the triangle is 5 feet.

1. Which room did you choose?

2. How could the length of the shorter leg be determined without measuring it? What is its length? Round your answer to the second decimal point. Show all of your work.

3. How could the length of the hypotenuse be determined without measuring it? What is its length? Round your answer to the second decimal point. Show all of your work.

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?