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Name _________________________________ Notes: Section 9.1 Right Triangle Trigonometry Example 1: Evaluate the six trigonometric functions of the angle π. 4 Example 2: In a right triangle, π is an acute angle and sin π = 7 . Evaluate the other five trigonometric functions of π. Monitoring Progress: Evaluate the six trigonometric functions of the angle π. 7 4). In a right triangle, πis an acute angle and cos π = 10. Evaluate the other five trigonometric functions of π. Example 3: Find the value of π₯ for the right triangle. ** Figure out which of the three main trig functions you can fit the given information, and the unknown into. SOH CAH TOA sin 30° = πππππ ππ‘π π»π¦πππ‘πππ’π π cos 30° = π΄πππππππ‘ π»π¦πππ‘πππ’π π tan 30° = πππππ ππ‘π π΄πππππππ‘ Example 4: Solve βπ΄π΅πΆ. (Solving a triangle is when you find all unknown side lengths and angles) Monitoring Progress: 5) Find the value of x for the triangle shown. Solve βπ΄π΅πΆ using the diagram and the given measurements. 6) π΅ = 45°, π = 5 7) π΄ = 32°, π = 20 8) π΄ = 71°, π = 10 9) π΅ = 60°, π = 7 Example 5: You are hiking near a canyon. While standing at A, you measure an angle of 90° between B and C, as shown. You then walk to B and measure an angle of 76° between A and C. The distance between A and B is about 2 miles. How wide is the canyon between A and C? Example 6: A parasailer is attached to a boat with a rope 72 feet long. The angle of elevation from the boat to the parasailer is 28°. Estimate the parasailer’s height above the boat. Monitoring Progress: 10) In example 5, find the distance between B and C. 11)What If? In example 6, estimate the height of the parasailer above the boat when the angle of elevation is 38°.