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Name ____________________________ Class ________ Date _____________________ Geometry Trigonometry Review 1. Find the unknown measures. Round lengths to the nearest hundredth and angles to the nearest degree. 3. What is the cosine ratio of R? 4. Which angle has a cosine of 5. Find the measure of F and D to the nearest degree. 7. What is the measure of A if sin A 2. To the nearest degree, find the measure 4 .5 of X if tanX = . 6 3 ? 2 3 ? 5 6. What is the sine ratio of A? 8. A skateboard ramp makes a 27 angle with the ground. To the nearest foot, how high is the ramp? Complete each statement. If necessary, round angle measures to the nearest degree. Round other values to the nearest hundredth. 9. cos 79 ___________ 10. sin 22 ___________ 11. tan 60 ___________ 12. tan_______ _ 0.7771 13. sin_______ _ 0.8745 14. cos________ 0.3891 15. Express the sine, cosine, and tangent of R as a ratio as a fraction. (be sure to reduce your answers.) R 10 5 sin R = ________ cos R = ________ 16. When the angle of elevation of the sun is 50, a flagpole casts a shadow that is 16.8 feet long. What is the height of the flagpole to the nearest foot? 5 3 tan R = ________ 17. From a point on the ground 12 feet in front 18. The angle of elevation from a person lying of the building, the angle of elevation to on the ground to a hot air balloon is 37. the top of the building is 76. How tall is The balloon is at an altitude of 1500 feet. the building. Round the answer to the To the nearest foot, find the horizontal nearest foot. distance from the person to a point on the ground directly below the balloon. 19. Find the value of x and y. Round your answer to the nearest integer. 20. Find the length of BC and CD. Give your answers in simplest radical form. y 47° x 6 x 3 15 Find the geometric mean of each pair of numbers. Give answers in simplest radical form. 21. 3 and 75 22. 10 and 14