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For Problems 813, the graph shows image ALMN which is a rotation and dilation of AGHI. Write each pair of trigonometric ratios as a fraction and as a decimal. 8. sin G, cos G 9. sin 1'. cos! 10. sinL. cosL 11. sinN.cosN 12. In the gure, how can you prove that the triangles are similar? 13. What is the trigonometric relationship between the complementary angles within each triangle? For each triangle, use a calculator to nd the measure of the given angle. Round to the nearest tenth of a degree. 18. AK 19. AB 20. [P J B P Q 12 30 8 18L W15 K i. A C R 21. AX 22. 1M 23. AV Y Z N. M T 20 V 6 15 X 13.5 19 24 U L 24. Reason Emerson wants to draw a right triangle with acute angles .11 and 12, where the sine of .11 is equal to the cosine of .12. How does this constrain the possible measures of the angles in the triangle? 25. Attend to Precision A farmer is building a set of new corrals. Canals l and 2 share a side that is perpendicular to the barn. The barn serves as one side of each corral. A. To the nearest foot. about how many feet of fence material does the farmer need to build both corrals? B. \\Vhal is the approximate total area of both corrals? 26. STEM In Tel Aviv. Israel, it took about a year to build a tower using construction toys. Andrea uses a laser measuring device to nd the distance to the top ofthe tower at an angle of about 35 . If she moves forward so the angle is 45 . the length of the laser beam is reduced by 30 ft. A. What is the length of each laser beam? Round to the nearest foot. I. To the nearest foot, what is the height of the tower