Angles All about Sides

Special Triangles Trig Ratios Solving

Triangles

10 10 10 10 10

20 20 20 20 20

30 30 30 30 30

40 40 40 40 40

50 50 50 50 50

Question 1 - 10

Find Cos(42o)

(round to the nearest four places)

Answer 1 – 10

• .7431

Question 1 - 20

Find angle ACos(A)=1/2

Answer 1 – 20

60 degrees

Question 1 - 30

Find angle ATan(A)=1

Answer 1 – 30

45 degrees

Question 1 - 40

Solve for XX

815

Answer 1 – 40

58 degrees

Question 1 - 50

Solve for X

X

55

89

Answer 1 – 50

38 degrees

Question 2 - 10

• Tell whether the number represent and acute obtuse, right or no triangle

2, 20, 22

Answer 2 – 10

No triangle 2+20=22

Question 2 - 20

• Tell whether the number represent and acute obtuse, right or no triangle

4, 11, 13

Answer 2 – 20

Obtuse

Question 2 - 30

• Solve for X• (round to 2 decimal places)

510

8

X

Answer 2 – 30

Cos(51)=8/x8/Cos(51)= x

X=12.71

Question 2 - 40

700

8

X

Answer 2 – 40

•X = 21.98

Question 2 - 50

Solve for x and Y

630

8

X

Y0

Answer 2 – 50

•X=7.13• Y= 27 degrees

Question 3 - 10

• Solve for X

450

8X

Answer 3 – 10

X = 8√2

Question 3 - 20• Solve for X

300

5

X

Answer 3 – 20

X = 10

Question 3 - 30

• Solve for X and Y300

X

Y6

Answer 3 – 30

X = 2√3Y = 4√3

Question 3 - 40

• Name the rules in a 45-45-90 when going from a leg to HYP and HYP to leg

Answer 3 – 40

• Leg HYP = Leg * √2• HYP Leg = HYP / √2

Question 3 - 50

• Name the Rules in a 30-60-90 when going from the Short Leg to the Long Leg and the HYP and also Back

Answer 3 – 50

SL HYP = SL * 2HYP SL = HYP / 2

SL LL = SL * √3LL SL = LL / √3

Question 4 - 10

• Find the Tangent ratio of the angle

8

157

Answer 4 – 10

• Tan = 8/7

Question 4 - 20

• Find the Cosine and Sine ratios of the angle

8

157

Answer 4 – 20

Cos = 7/15Sin = 8/15

Question 4 - 30

•Define all Trig Ratios

Answer 4 – 30

•Sine = Opposite/Hyp•Cosine=Adjacent/Hyp•Tangent=Opposite/Hyp

Question 4 - 40

• Solve• Lauren want to measure the height of a

building. She stands 150ft from the base of the building. She measure the angle of elevation from a point on the ground to the top of the building to be 500. Estimate the height of the building.

Answer 4 – 40

Height = 178.76ft

Question 4 - 50

A

7

18

• Find all three trig ratios of angle A

10

Answer 4 – 50

• Sin(A)= 7/18• Cos(A)= 10/18 = 5/9• Tan(A)= 7/10

Question 5 - 10

• The perimeter of a square is 24in. Find the length of the diagonal.

Answer 5 – 10

•6√2in

Question 5 - 20

• Solve for the missing angle (round to the nearst degree)

A

125

Answer 5 – 20

• Angle A = 22.6 degrees

Question 5 - 30

13

Y

• Solve the triangle

X

Y

10

Z

Answer 5 – 30

• Z= 13• X= 67.38 degrees• Y=45.24 degrees

Question 5 - 40

• Solve for all parts of the triangle

A

155

B

X

Answer 5 – 40

• A= 70.53 degrees • B= 19.47 degrees • X=10√2

Question 5 - 50

• Solve for all parts of the triangle. Round decimals to the nearest tenth.

15Y

250

X

Answer 5 – 50

X =13.59Y = 6.34