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Trigonometry Mini Project Jamari Robinson June 4th, 2013 F- Block Carpenter 38o • A carpenter cuts a piece of wood into a right triangle. The wood was made to cover a hole in the floor. The hypotenuse measures 4 inches. With the given angle measurements what is the length of the adjacent side? 4 Solution 1. Figure out what function to use by identifying what you have and what you want to find out. Have adjacent and hypotenuse and the function that deals with both is Cosine 2. Set up equation using the function 3. Isolate x and solve for x. ADJ Cos38o = HYP x Cos38o = 4 Cos38o = (4)Cos38o X=3.2 = x x 4 Bicycle 44o 1. Figure out what function to use by identifying what you have and what you want to find out. 2. Set up equation using the function 3. Isolate x and solve for x. 4. Use the solve for other side using same steps. *Pythagorean Theorem would also work • Two boys are planning to build a home- made bike with the exact measurements as this bike. However, only one angle measure and the hypotenuse was provided. What is the length of the other two sides? You have the hypotenuse and could solve for the oppsite side and the function that deals with both is Sine x OPP o = Sin44 o 18 Sin44 = HYP X =18(sin44o) OPP =12.5 in x ADJ o= Cos44 o = 18 Cos44 HYP X =18(Cos44o) ADJ =12.9 in Homer Simpson 27 The Simpsons are planning to purchase a custom chair for Homer. To place a order for this custom chair they need Homer’s back length. Now that he is sleep find the length of his back using the angle measurement and 27 inches as his arm length. 38o solution 1. Figure out what function to use by identifying what you have and what you want to find out. 2. Set up equation using the function 3. Isolate x and solve for x. Deals with adjacent and opposite and the function that deals with both is Tangent 27 OPP Tan38o = X Tan38o = ADJ 27 x = x Tan38o = 4 Tan38o X= 32.6 inches British Flag • The British flag contains many right triangles. One angle measures 30 degrees and the hypotenuse is equal to 8 inches. With the given information find the length of opposite and adjacent side? 30o Solution 1. Figure out what function to use by identifying what you have and what you want to find out. Deal with Opposite and hypotenuse and the function that deals with both is sine 2. Set up equation using the function sin30o 3. Isolate x and solve for x. 4. Use properties of 30-60-90 to Solve for other side. OPP HYP (8)Sin30o = opp= 4 inches Sin30o = x 8 = x adj=4√3 or 6.9 inches Sandwich • 29 o 6 ADJ Step 1: cos29 = HYP 6 Step 2: x= cos29 x= 6.9 A girl and her friend decide to share sandwiches. The first sandwich was already sliced perfectly. They want they second sand which to be sliced the same. They know that they length of the sandwich is 6 inches and one of the angle measures shown in the picture. How long would the diagonal of the sandwich slice be? 6 Cos29 = x