Bell Work
Angle of Elevation
finding sides and angles
Trig
Classify Triangles
100

a=8    b=6    A=x    what is x

Tanx=8/6

x=53.1

100

Casey sights the top of an 84-foot tall lighthouse at an angle of elevation of 58 degrees. If Casey is 6 feet tall, how far is he standing from the base of the lighthouse.

Tan58=78/x

x=78/Tan58

x=48.7

100

if x=28 what is y

y=43.3

or 

y=43.27817002

100

Max built a skateboarding ramp that is 16 inches high. The angle formed by the ramp and the ground is 21 degrees. What is the length of the ramp.

Sin21=16/x

x=16/Sin21

x=44.6

100

20,21,29

Right

200

When is the inverse trig function used

When your finding x as the angle

200

A=x       b=750      a=1800  what is x

Tanx=1800/750

x=67.4

200

If :     A=x ,  a=12,  b=54      what is x

Sinx=12/54

x=12.8

200

A fireman leaned a 36-foot ladder against a building. If he placed the ladder 7 feet from the base of the buidling, what angle is formed between the ladder and ground.

Cosx=7/36

x=78.8

200

5,9,10

Obtuse

300

The marching band director is standing on a platform over looking the band practice. The pit section is located 8 feet from the base of the platform. If the angle of depression from the band director to pit station is 67 degrees, find the height of the platform.

Tan67=x/8

8tan67=x

18.8=x

300
Building A is 480 feet tall and Building B is 654 feet tall. If the angle of depression from the top of Building B to the top of Building A is 42 degrees. How far apart are the buildings.

Tan42=174/x

x=174/tan42

x=193.2

300

If:  A=52,  a=x,  b=20,   what is x

Tan52=x/20

20tan53=x

x=25.6

300

A wire is attached from the top of a 45-foot tall building to a stake on the ground. If the angle formed by the wire is 48 degrees, what is the length of the wire.

Tan48=45/x

x=45/tan48

x=40.5

300

3,15,18

Not a triangle

400

What are the specific trig ratios for Sin, Cosine, and Tangent.

Sin = o/h

Cos = a/h

Tan = o/a

400

Caden is standing x feet from a palm tree which is 67 feet tall and he notices that it is something he has never seen before. The angle of elevation from the ground where she is standing is 33 degrees. Find how far he is from the palm tree.

Tan33=67/x

x=67/tan33

x=103.2

400

B=46     c=x      b=24   What is X

Sin46=24/x

x=24/sin46

x=33.4

400

A ramp is used to load cars onto a tow truck. If the flatbed is 9 feet from the ground and the angle formed bt the end of the ramp and the ground is 25 degrees. How long is the ramp

Sin25=9/x

x=9/sin25

x=21.3

400

16,21,28

Acute

500

The angle of elevation from Parker to a lighthouse is 74 degrees if the light house is 112 feet tall. How far is Parker from the base of the light house?

Tan74=112/x

x=112/Tan74

x=32.1

500

Mrs. Prince is standing at the bottom of the slide at the playground. If the angle of elevation from the bottom of the slide to the top is 46 degrees, and the slide has a vertical height of 9 feet, find the length of the slide.

Tan46=9/x

x=9/Tan46

x=8.1

500

TRIG RATIO double points   b=30   a=16    c=x

SIN B

COS B

TAN B

SIN B = 30/34 = 15/17

COS B = 16/34 = 8/17

TAN B = 30/16 = 15/8

500

Michel lets off a kite 300 feet off the string, if the kite is 200 feet in the air, what is the angle of elevation.

Sinx=200/300

x=41.8

500

80,56,130

Acute

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