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Name: Period: Date: Score: Total Score: _______/50 Right Triangle/Trigonometry Review WS ___/3 Simplifying Radicals 1. 75 ±5√3 2. 25a 4b5 ±5a2b2√b 3. (4)(36) ±12 ___/3 Type of Triangle Determine whether each set of numbers can be measures of sides of a right triangle. If not, what type of triangle is it? 4. 15, 36, 39 right 5. 2, 3, 2 obtuse 6. 5, 7, 12 not triangle ___/5 Geometric Means Find the geometric means between each pair of numbers. 7. 3 and 12 ±6 8. 6 and 9 3 6 9. Find the values of x, y and z. (3pts) x = 4√2, y = 4√3 z = 4√6 _____/10 Trig Ratios 10. Find a. sin C = 15/17 b. cos C = 8/17 c. tan C = 15/8 A 15 B 11. Find a. sin B = 8/10 or 4/5 b. cos B = 6/10 or 3/5 c. tan B = 8/6 or 4/3 8 A 8 10 17 12. Find the following: a. cos A = 7/25 b. sin A = 24/25 c. tan A = 24/7 C 6 C B 13. What does SOH-CAH-TOA stand for? Sin = op/hyp; cos = adj/hyp; tan = op/adj ___/4 Misc 14. Name the 5 sets of Pythagorean triples. 3-4-5, 5-12-13, 7-24-25, 8-15-17, 9-40-41 15. Find the perimeter of a rhombus with diagonals of 6 and 10. 4√34 16. David skied 2km north, 2km west, 1 km north and 2km west. How far did he ski? 5 (3x4) 17. A 25-ft ladder just reaches a point on a wall 24-ft above ground. How far is the foot of the ladder from the wall? 7ft Right Triangle/Trig Review WS 1 Rev D.1 Name: Period: Date: Score: ___/6 Angle of Elevation/Depression (2pts each) 18. A sonar operator on a cruiser detects a submarine at a distance of 500m and an angle of depression of 37. How deep is the sub? Sin 37 = x/500 x = 300.9 19. The top of a signal tower is 120m above sea level. The angle of depression from the top of the tower to a passing ship is 25. How many meters from the foot of the tower is the ship? tan 25 = 120/x x = 120/tan 25 = 257.3 20. Antonio is flying a kite. He lets out 500ft of kite string. The kite is flying so that Antonio’s angle of elevation is 36º. How high above the ground is the kite? Sin 36 = x/500 x = 294ft _____/7 Missing Sides Find the values of the missing sides. 21. x = 9.8 22. x = 165.4 Find the values of x and y. Write all radicals in simplest form. 23. x = 7√3, y = 14√3 24. x=y= 8√2 x cm 21 x 25. X = 5√34 16 15 cm y 30 y 45 25 cm x _____/12 Solve Triangles Solve each ∆ABC described below. Round angle measures to nearest degree and side measures to the nearest tenth. 26. C=90º, A=63º, a=9.7 27. C=90º, a = 2, b=7 28. A=52º, C=90º a=4 29. A= 42º, b=120, c=120 B=27º,c=10.9,b=4.9 c=7.3,A=16º,B=74º Right Triangle/Trig Review WS 2 B = 38º, b = 3.1, c = 5.1 a = 86, B = C = 69º Rev D.1