Angle of Elevation and Angle of Depression

TRIGONOMETRIC Ratio

100

SOH = 

SIN θ = opposite/hypotenuse

 

200

mnemonic used for remembering the equations

SOH - CAH - TOA

300

Primary Trigonometric ratios

Sine

Cosine

Tangent

400

CAH =

COS θ = opposite/hypotenuse

500

Trigonometric ratios are used to calculate this in the real world

What is the height of really tall objects?

Find

100

The cosine of 0 degrees.

1

200

The sine of 30 degrees.

0.5

300

The tan of 50 degrees.

1.19

400

The cosine of 67 degrees.

0.39

500

Tan  = 

tan = opposite/adjacent

the

100

2 types of special right triangles

45^o, 45^o, 90^o

30^o, 60^o, 900

200

Formula for Pythagorean Theorem 

a² + b^{2  =} c²

300

It is the angle from the horizontal to the line of sight of the observer to the object above.

Angle of Elevation

400

Is the angle from the horizontal to the line of sight of the observer to the object below.

Angle of depression

500

It is an imaginary line that connects the eye of an observer to the object being observed.

Line of sight

Value

100

The tangent of 55 degrees.

1.42

200

The english version of SohCahToa

Soak your toes!!

Don't forget!

300

What is our lesson today?

The Concept of Angle of elevation and Depression

400

an example of a Pythagorean triple 

3,4,5

5,12,13

8,15,17

7,24,25

500

the total number of trigonometric functions

6 

sine, cosine, tangent, secant, cosecant, cotangent

Right!

100

In greek trigonometry breaks down to be trignon and metron meaning 

triangle measure

200

Suppose the sun casts a shadow off a 35-foot building. If the angle of elevation to the sun is 60°, how long is the shadow to the nearest tenth of a foot?

about 20.2 ft

300

it is a triangle that has 90 degrees

right triangle

400

what is the longest side in a right triangle?

hypotenuse

500

Bonus point

Write the full name of your math teacher  :)

Chelsea Lucille Ruth Andrews