Pythagorean Theorem Special Right Triangles Trigonometry Angle of Elevation & Depression Law of...

Pythagorean Theorem

Special Right Triangles

TrigonometryAngle of

Elevation & Depression

Law of SinesLaw of

Cosines

$100 $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

Final Jeopardy

Right Triangles

Final Jeopardy

54.64 in

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.

Jeopardy Sound File

Determine whether the following sides will form a right triangle.

24 in, 32 in, 40 in

$100

Pythagorean Theorem

Yes; 242 + 322 = 402

√137 OR 11.7

$200

Pythagorean Theorem

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

$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

3√2 or 4.24

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

Special Right Triangles

$300

20 feet

Special Right Triangles

$400

6√3

Special Right Triangles

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

the altitude?

$500

23.15 or 5 root 2+12+5root 6 divided by 3

Special Right Triangles

$100

14.6

Trigonometry

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

$200

18.1

Trigonometry

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

$300

15.5 ftTrigonometry

$400

24.2

Trigonometry

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

$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

21.8°

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?

$500

24.4 ft

Angles of Elevation & Depression

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?

$100

4.7

Law of Sines

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

$200

3.7

Law of Sines

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

$300

31.5°

Law of Sines

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

$400

10.4°

Law of Sines

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

$500

91.8 m

Law of Sines

$100

8.4cm

Law of Cosines

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

$200

10 cm

Law of Cosines

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

$300

44.2°

Law of Cosines

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

$400

30.7

Law of Cosines

Find the length of c.

$500

14.5 ftLaw of Cosines