The Green Monster The left field wall at Fenway Park is 310 feet from home plate; the waH itself (affectionately named The Green Monster) is 37 feet high. A batted ball must clear the wall to be a home run. Suppose a ball leaves the bat 3 feet off the ground, at an angle of 45. Use g = 32 ft/sec2 as the acceleration due to gravity and ignore any air resistance. (a) Find parametric equations that describe the position of the ball as a function of time. (b) What is the maximum height of the ball if it leaves the bat with a speed of 90 miles per hour? Give answer in feet. (c) How far is the ball from home plate at its maximum height? Give answer in feet. (d) If the ball is hit straight down the left field wall, will it clear the "Green Monster"? If it does, by how much does it clear the wall? Source: The Boston Red Sox

L3 - 8 2 ex. If α is in the third quadrant with tanα = and β is 3 3 in the ﬁrst quadrant with sinβ = 5 ,ﬁndthexatvaleof sec(α + β).