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Math 10 Assignment 5 A NAME:__________________ Trigonometry Date:……………………….. Answer each of the following questions in the spaces provided. Show all work!!! 1. Determine the value of x. D GDF ~ HEF E 5 cm 6 cm F 8 cm x H G 2. From ground level, it is possible to see the top of a building just over the top of a tree when standing 18.0 m from the tree. If the tree is 13.6 m tall and the building is 32.8 m from the tree, how tall is the building? (draw a diagram, set up the ratios, and solve). 3. Simplify: (a) 125 (b) 3 72 4. Find the angle indicated. Round your answer the nearest degree. 5. Determine the value of x for each of the following. Leave your answers as exact values (simplest radical form). x (a) 14 (b) 10 20 18 x 6. A ladder 7.5 m long is placed against a wall that is 5.2 m high. How far is the bottom of the ladder from the base of the wall? (round answer to nearest tenth). 7. Trigonometric ratios for ∆PQR are shown. Which are true (T)? Which are false (F)? Circle your choice. Correct those that are false. a) sin P 4 5 T F (b) tan R 4 3 T F 4 Q P 3 5 (c) cos R 3 5 T F (d) tan P 3 5 T F 8. Find the missing sides of the following triangles. Round answers to nearest tenth. (a) (b) (c) (d) R 9. Complete the following. Make sure answer is in simplest form. (a) 3 28 45 3 20 63 5 80 (c) 5 48 4 6 (d) (b) 3 12 4 48 2 3 (e) 5 20 10. Given: JKL : J 90, k 12, j 18 Draw a diagram and find all missing sides and angles. Round answers to (sides nearest tenth, angles nearest degree). Math 10 Assignment 5 B NAME:__________________ Trigonometry Date:……………………….. Answer each of the following questions in the spaces provided. Show all work!!! 1. Determine the value of x. CDE ~ CAB E 6m 8m D C 16m B A x 2. From ground level, it is possible to see the top of a building just over the top of a tree when standing 19.0 m from the tree. If the tree is 13.9 m tall and the building is 33.8 m from the tree, how tall is the building? (draw a diagram, set up the ratios, and solve). 3. Simplify: (a) 384 (b) 5 80 4. Find the angle indicated. Round your answer to the nearest degree. 5. Determine the value of x for each of the following. Leave your answers as exact values (simplist radical form) (a) (b) 6. A ladder 7.7 m long is placed against a wall that is 5.4 m high. How far is the bottom of the ladder from the base of the wall? (round answer to nearest tenth). 7. Trigonometric ratios for ∆PQR are shown. Which are true (T)? Which are false (F)? Circle your choice. Correct those that are false. (a) sin P 3 5 T F (b) tan R 3 4 T F 4 Q P 3 5 (c) cos R 5 3 T F (d) tan P 3 4 T F 8. Find the missing sides of the following triangles. Round answers to nearest tenth. R 9. Complete the following. Make sure answer is in simplest radical form. (a) 9 28 2 45 5 20 63 4 80 (c) 5 54 4 2 (d) (b) 3 12 4 72 2 5 (e) 5 18 10. Given: XYZ : Y 90, x 13, y 19 Draw a diagram and find all missing sides and angles. Round answers to (sides nearest tenth, angles nearest degree).