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This game will cover he following VA SOLs - PowerPoint PPT Presentation

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.

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• 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.

Right Triangles

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

Determine whether the following sides will form a right triangle.

24 in, 32 in, 40 in

Yes; 242 + 322 = 402

Pythagorean Theorem

Find the value of x. Round to the nearest tenth.

√137 OR 11.7

Pythagorean Theorem

No; 202 + 212 ≠ 282

Pythagorean Theorem

65 miles apart

Pythagorean Theorem

30 feet

Pythagorean Theorem

150√2

Special Right Triangles

Find the value of x. Round to the nearest hundredth.

3√2 or 4.24

Special Right Triangles

20 feet

Special Right Triangles

The perimeter of an equilateral triangle is 36 cm. What would be the length of the altitude?

6√3

Special Right Triangles

20.7

Special Right Triangles

Find the value of x. Round to the nearest tenth.

14.6

Trigonometry

Find the value of x. Round to the nearest tenth.

18.1

Trigonometry

15.5 ft

Trigonometry

Find the value of x. Round to the nearest tenth.

24.2

Trigonometry

31.2 m

Trigonometry

347.3 m

Angles of Elevation & Depression

41,027.5 ft

Angles of Elevation & Depression

21 ft

Angles of Elevation & Depression

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

Abird 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

In ΔSTU, <U=37°, <T=17°, t = 2.3. Find the length of u.

4.7

Law of Sines

In ΔEFG, <G=14°, <E=67°, e = 14. Find the length of g.

3.7

Law of Sines

In ΔSTU, <T=85°, s=4.3, t = 8.2. Find the m<S.

31.5°

Law of Sines

In ΔABC, a = 40, c = 12, <A=37°. Find the m<C.

10.4°

Law of Sines

91.8 m

Law of Sines

In ΔJKL, j=9.6cm, l = 1.7 cm, & <K=43°. Find the length of k.

8.4cm

Law of Cosines

In ΔJKL, j = 11cm, k = 7 cm, & <L=63°. Find the length of l.

10 cm

Law of Cosines

In ΔMNQ, m=24cm, n = 28 cm, & q=34 cm. Find m<M

44.2°

Law of Cosines

Find the length of c.

30.7

Law of Cosines

14.5 ft

Law of Cosines