Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Date Name Per. REVIEW Chapter 8: Trigonometric Ratios 8.2 Trigonometric Ratios (Check that your calculator is in DEGREE mode. Tip: If tan45=l, then your calculator is in the correct mode.) 1. Trig Ratios: Soh-Cah-Toa sinZA = 0 cosZA= tanZA 2. Given the triangle below, find the sin, cos, and tan for angle M and T. As a fraction and decimal to the hundredths place. sin cos Z M = 1^ cos Z T = 7^^ tan Z M = • 1 3. If 0 = 14 ° and the hypotenuse is 12, what is the approximate perimeter of the triangle? a. ) 14.5 b. ) 26-5 c. ) 2.9 d. ) 11.6 A- IX( CosK) 4. If c = 50 and angle X is 65 degrees, what is the approximate area of the triangle? a. ) b. ) 352.23 402.45 c) 423.22 478.77 (S- , '^'•^ Cf^ - 5oCs'.-l^^^ ^ ^ ^' CCS t p S - • • ' 5 0 ' Date Name Per. 5. A right triangle has an angle that measures 55°. The leg adjacent to this angle has a length of 43 cm. What is the length of the other leg of the triangle? Round to the nearest tenth. 4^ (-V^nS5>-0^ 45 8.3 Inverse of Trig. Ratios 6. Using trig ratios. Solve the right triangles. Round angles to the nearest degree and sides to the hundredths. a. 0 0 Q. 6. 13 f. ^ D 28= 14 H Cos - o I M 7. A ramp was built by the loading dock. The height of the loading platform is 4 feet. Determine the length of the ramp if it makes a 32° angle with the ground. 8. Janelle sets her treadmill grade to 6%. What is the angle that the treadmill surface makes with a horizontal line? Round to the nearest degree. 9. If cos A= 0.28, which angle in the triangles below is Z A ? 9 cm 4flian Name Date Per. 10. Right triangle ABC is graphed on the coordinate plane and has vertices at A ( - l , 3), 5(0, 5), and C(4, 3). What is the measure of ZC to the nearest degree? no 8.4 Angle of Elevation and Depression 11. A jet rises vertically 2000 feet over a horizontal distance of 2856 feet. To the nearest degree, what is the angle of elevation of the jet's path? 7.000 12. Mayuko is sitting 30 feet high in a football stadium. The angle of depression to the center of the field is 14°. What is the horizontal distance between Mayuko and the center of the field? Round to the nearest foot. 13. A surveyor 50 meters from the base-of a cliff measures the angle of elevation to the top of the cliff as 72°. What is the height of the cliff? Round to the nearest meter. 14. The figure shows a person parasailing. What is x, the height of the parasailer, to the nearest foot? MOO 15. Shane is 61 feet high on a ride at an amusement park. The angle of depression to the park entrance is 42°, and the angle of depression to his friends standing below is 80°. How far from the entrance are his friends standing? Round to the nearest foot. 16. Simplify the radicals a. VT25 b. Vl92 - gvj^ 12 -9^ _ i '~t— SinC- iK 5