1. By: Clay Pennington Wade Davis Perri Lyles Cara Sbrissa

2. 132in 64.37 60 Tan 60= x/132 X= 228.63 Foul Post= 228.63+ 64.37= 293in x

3. 45 71.93in 168 in 239.93 Special Right Triangles: One of the legs of the triangle is 168 inches long. Because of this, the other leg also measures 168 inches. When you add 168 with the 71.93 height of the bottom rectangle, you get 239.93 inches, or nearly 20 feet. Trigonometry: Calculating the tangent of the 45 degree angle closest to the rectangle, you get tan(45)168. This equals 168 for the other leg of the triangle. Add the 168 with the 71.93 height of the rectangle, and you get 239 inches or nearly 20 feet.

4. 30 60 70.86 in. 288 in. Short leg– 288 divide by square root of 3 ( 96 square roots of 3) Hypotenuse- Double short leg (288*2) For the total height you add the rectangle height and short leg. 70.86+96 square roots of 3= height x

5. 228 in. 66.18 in. 40 50 To find the height of this type of triangle you must use trigonometry because its not 30-60-90 or 45- 45-90. We know we have the adjacent side and since we need to find the opposite side we are going to use tangent. If we were trying to find the hypotenuse we would use cosine. To set up this problem in your calculator you would put 228*tan(40)=h The answer you get is approximately 191.31 which you add to 66.18 because that is the height that isn’t part of the triangle to get the total height which is approx 257.49 x

6. Our group discovered if you have a 45-45-90 triangle and you know that one of the legs then the other leg is equal to that one and the hypotenuse is the leg times the square root of 2. Which means if you have a hypotenuse and need to get a leg then you divide by the square root of 2 to get the leg. We also learned if you have the short side of a 30-60-90 triangle then to find the long side you multiply by the square root of 3, and to get the hypotenuse you multiply the short leg by two. If you have the long leg of the triangle you divide by the square root of 3 to get the short side of the triangle and multiply the answer you get for the short side by 2 to get the hypotenuse. For a non 30-60-90 or 45-45-90 you must use trig to find the length of the sides. If you are given a side adjacent to the angle given then you use tangent to find the opposite side and cosine to get the hypotenuse. If you are given the opposite side then you use tangent to get the adjacent side and sine to get the hypotenuse lengths. And if you are given the hypotenuse you use sine for the opposite side and cosine for the adjacent side of the angle.