Name________________ Period ____ Geometry Agenda

Average ______

Week 3.9B/3.10 Objective Grade

Thursday March 2, 2017

Trig Ratios

Practice

Friday March 3, 2017

Solving Right Triangles

Practice

Monday March 6, 2017

Angles of Elevation and Depression Practice

Tuesday March 7, 2017

Applications

Practice Wednesday

March 8, 2017 Review

Study!!

Thursday March 9, 2017

Test

Relax Friday

March 10, 2017 Focus Friday

Happy Spring Break!!

First Things First

Geometry: Unit 10 – Trigonometric Ratios

Practice – Trigonometric Ratios Pages 436-440 Name ___________________________ Date ____________________ Period __________ Directions: Answer each question, then look at the totem pole to find the answer and color the answer using the color listed. Use your calculator to find each trigonometric ratio. Round to the nearest hundredth.

1. YELLOW: 0cos77 ________

2. BLUE: 0tan14 ________

3. GREEN: 0sin55 ________

Write each trigonometric ratio as a fraction.

4. PURPLE: sin _______D

5. ORANGE: cos _______D

6. BLACK: tan _______D

7. ORANGE: sin _______F

8. PURPLE: cos _______F

9. BROWN: tan _______F

Find the length indicated. Round to the nearest hundredth. 10. YELLOW: Find AC. 11. RED: Find AB.

12. RED: When a child flying a kite has let out 50 meters of string, the string makes an angle of 55 o with the ground. How high is the kite?

0.25

0.82

15

17

15

17

8

17

15

8

8

15

0.22

50m

55o

2.91

18.93

15

17

40.96

0.82

D

F

15

E

17

8

x

B

A

8

C

65o

B

A

x

C 4

36o

2.91

Geometry: Unit 10 – Solving Right Triangles

Practice – Solving Right Triangles Pages 436-440

Name _____________________________ Date ____________ Period ______

Directions: Solve each problem and match the answer on the picture! Color the picture with the

corresponding color.

Question 1 – RED Question 5 – ORANGE Question 9 – PINK

Question 2 – LIGHT GREEN Question 6 – LIGHT BLUE Question 10 – any color!

Question 3 – DARK GREEN Question 7 – DARK BLUE Question 11 – BROWN

Question 4 – YELLOW Question 8 – PURPLE Question 12 – any color!

Geometry: Unit 10 – Solving Right Triangles

Solve each problem below. SHOW YOUR WORK! If you do not have a calculator at home, use

http://www.pagetutor.com/trigcalc/trig.html to help! Round lengths to the nearest hundredth and angles to

the nearest degree.

1. In ABC , AB = 5 and

AC = 9. Find m A .

5. In TRI , TR = 10.5 and RI = 4.5. Findm T .

9. In CAT , 38m T and

CT = 23. Find AT.

2. In COW , OW = 5 and

CO = 12. Find m W .

6. In ONE , OE = 25 and

NE = 20. Find m O .

10. In SKY , SY = 25 and

KY = 24. Find m S .

3. In PIG , 49om P

and IG = 6. Find PG.

7. In AIR , AR = 16 and IR = 8. Find m R .

11. In TRY , TR = 15 and

13m T . Find TY.

4. In GEO , 56om G

and EO = 6. Find GE.

8. In DOG , 33om D and

DG = 10. Find OG.

12. In XYZ , XY = 18.5 and YZ = 24.5. Find m Z .

T

Y R

G

O E

A

R I

X

Z Y

D

G O

P

G I

T

I R

C

W O

S

Y K

O

E N

A

C B

C

T A

Geometry: Unit 6 – Angles of Elevation and Depression

Practice – Angles of Elevation and Depression pp 544-549 Name __________________________________ Date _____________ Period _____

1. Identify each numbered angle in the diagram below.

Label the picture and show all work to solve the problem. 2. A helicopter must land in a certain marked position atop a hospital in Downtown Dallas at an angle of

depression of 41. The height of the hospital is 100 ft and the helicopter is hovering 300 feet above ground. Find the horizontal distance from the helicopter to the hospital.

3. A lifeguard spots a distressed swimmer at an angle of depression of 30. If the lifeguard sits 5 feet above ground, find the horizontal distance from the lifeguard to the swimmer.

4. The Reunion Tower in downtown Dallas is 561 feet tall. A 6-ft-tall person stands half a mile away and

views the top of the building. Find the angle of elevation to the top. (Note: 1 mile = 5280 ft)

A. Angle of elevation from balloon to airplane.

B. Angle of depression from balloon to taxicab.

C. Angle of depression from airplane to balloon.

D. Angle of depression from airplane to bird.

E. Angle of elevation from bird to airplane.

F. Angle of depression from bird to taxicab.

G. Angle of elevation from taxicab to balloon.

H. Angle of elevation from taxicab to bird.

Geometry: Unit 6 – Angles of Elevation and Depression

5. A person on a bridge sights a boat at an angle of depression of 6o. The bridge is 96 feet above the

water. If the boat is traveling 440 feet per minute, about how long will it take the boat to reach the bridge?

6. A person standing on the roof of a building sees a hotdog stand that is 20 yards from the base of the

building. If his line of sight is 506 feet and the building is 502 feet tall, find the angle of depression from the person to the hotdog stand. (Note: 3 feet = 1 yard)

7. From a rescue helicopter 1800 m above the ocean, the angles of depression to two shipwreck survivors

are 40 and 60. How far apart are the two survivors?

DOLLAR

DOGS

S1 S2

Unit 6 Review: Trigonometry

What is SOH-CAH-TOA?

Fill in the blank for each:

1. sin(32 ) _______o 2. cos(59 ) _______ 3. tan(72 ) _______

Fill in the blank for each:

4. sin(_____) .495 5. cos(______) .348 6. tan(______) 2.42

For #7 – 9, use the triangle below.

7. AC = ________

8. 𝑚∠𝐶 = ___________

9. 𝑚∠𝐴 = ___________

9

40

A

B C

For #10 – 13, write the following trigonometric ratios as fractions.

10. 𝑠𝑖𝑛𝐴 =

11. 𝑐𝑜𝑠𝐵 =

12. 𝑡𝑎𝑛𝐴 =

13. 𝑠𝑖𝑛𝐵 =

For each triangle below, solve for x.

14. 15.

3

4

A

B C

5

43o

30

x

31o x

12

16. 17.

18. A bird is sitting on a 15-ft tree and spots the best looking worm of his life. He looks

down at an angle of depression of 18o. How far away is the bird from his dinner?

19. You are standing outside waiting for your ride. While standing 10 feet away, you look

up at an angle of elevation of 63o and see the top of the building. If you are 5 feet

tall, how tall is RHS?

18 24

xo

21

42

xo