Transcript Document
This game will cover he following VA SOLs • T.2 The student, given the value of one trigonometric function, will find the values of the other trigonometric functions, using the definitions and properties of the trigonometric functions. • T.5 The student will verify basic trigonometric identities and make substitutions, using the basic identities. • T.9 The student will identify, create, and solve real-world problems involving triangles. Techniques will include using the trigonometric functions, the Pythagorean Theorem, the Law of Sines, and the Law of Cosines. Trigonometry Angle of Elevation & Depression Law of Sines Law of Cosines $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 $500 Pythagorean Theorem Special Right Triangles $100 Final Jeopardy Right Triangles Final Jeopardy A rectangle has a diagonal 20 inches long that forms angles of 30° and 60° with the sides. Find the perimeter of the rectangle. Round to the nearest hundredth. 54.64 in Jeopardy Sound File $100 Determine whether the following sides will form a right triangle. 24 in, 32 in, 40 in Yes; 242 + 322 = 402 Pythagorean Theorem $200 Find the value of x. Round to the nearest tenth. √137 OR 11.7 Pythagorean Theorem $300 No; 202 + 212 ≠ 282 Pythagorean Theorem $400 65 miles apart Pythagorean Theorem $500 30 feet Pythagorean Theorem $100 150√2 Special Right Triangles $200 Find the value of x. Round to the nearest hundredth. 3√2 or 4.24 Special Right Triangles $300 20 feet Special Right Triangles $400 The perimeter of an equilateral triangle is 36 cm. What would be the length of the altitude? 6√3 Special Right Triangles $500 20.7 Special Right Triangles $100 Find the value of x. Round to the nearest tenth. 14.6 Trigonometry $200 Find the value of x. Round to the nearest tenth. 18.1 Trigonometry $300 15.5 ft Trigonometry $400 Find the value of x. Round to the nearest tenth. 24.2 Trigonometry $500 31.2 m Trigonometry $100 347.3 m Angles of Elevation & Depression $200 41,027.5 ft Angles of Elevation & Depression $300 21 ft Angles of Elevation & Depression $400 An airplane is flying at a height of 2 miles above the ground. The distance along the ground from the airplane to the airport is 5 miles. What is the angle of depression from the airplane to the airport? 21.8° Angles of Elevation & Depression $500 A bird sits on top of a lamppost. The angle of depression from the bird to the feet of an observer standing away from the lamppost is 35. The lamppost is 14ft tall. How far away is the observer from the bird? 24.4 ft Angles of Elevation & Depression $100 In ΔSTU, <U=37°, <T=17°, t = 2.3. Find the length of u. 4.7 Law of Sines $200 In ΔEFG, <G=14°, <E=67°, e = 14. Find the length of g. 3.7 Law of Sines $300 In ΔSTU, <T=85°, s=4.3, t = 8.2. Find the m<S. 31.5° Law of Sines $400 In ΔABC, a = 40, c = 12, <A=37°. Find the m<C. 10.4° Law of Sines $500 91.8 m Law of Sines $100 In ΔJKL, j=9.6cm, l = 1.7 cm, & <K=43°. Find the length of k. 8.4cm Law of Cosines $200 In ΔJKL, j = 11cm, k = 7 cm, & <L=63°. Find the length of l. 10 cm Law of Cosines $300 In ΔMNQ, m=24cm, n = 28 cm, & q=34 cm. Find m<M 44.2° Law of Cosines $400 Find the length of c. 30.7 Law of Cosines $500 14.5 ft Law of Cosines