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Geometry Section 9.5 HW For problems 1 - 6, write the ratio (using two numbers) for each trigonometric function. Note: You will need to find the length of XY and remember that you cannot leave a square root in the denominator of a fraction. 1. sin A __________ 7 W 2. cos A __________ X A 3. tan A __________ 4. sin Y __________ 13 34 3 B 5 C Y 5. cos Y__________ 6. tan Y __________ Use a calculator to approximate the value of the given trig ratio to the nearest 1000th. Be sure your calculator is in degree mode. 7. sin 23° __________ 8. cos 61° __________ 9. tan 37° __________ In problems 10 & 11, solve the equation for x. Round to the nearest 1000th. 10. sin 47 x 25 11. cos 18 20 x 12. Consider the following values of the sine ratio. sin 5° = 0.0872 sin 25° = 0.4226 sin 45° = 0.7071 sin 65° = 0.9063 It appears that the sine of an angle is always less than one. Explain why this is true. OVER For problems 13 - 15, find the length of the missing sides in each triangle. Round to the nearest 1000th. 13. 18 14. 15. x 10 x 18° y y x 71° y ° 27° ° 12 For problems 16 & 17, round your answer to the nearest 1000th. 16. The angle of elevation to the top of a tree from a point 150 feet from its base is 41°. Estimate the height of the tree. 17. A 50-foot ladder is leaning against a building with an angle of 68° with the ground. How high does the top of the ladder reach on the building? For problems 18 - 19, round your answer to the nearest 1000th. boom The boom on a construction crane is 125 ft long and sits on top of a cab that is 12 ft high. The boom is raised to an angle of elevation of 38°. m cab (not drawn to scale) 18. How high is the top of the boom above the ground? 19. How far horizontally is the top of the boom from the cab?