8.2

Trigonometric Ratios

Quick Review: What ways can we solve right triangles?

6

9 x

7 25

60⁰ 14

45⁰

10

42⁰

10

x ?

For the following right triangle:

A C

B

Three trigonometric Ratios –can you find these buttons on your calculator????

Sine (“sin”) Cosine (“cos”) Tangent (“tan”)

SOH-CAH-TOA

Acronym that may help you remember the ratios

ACH

OTA

OSH

Find the sin, cos, and tan of the given angle.

10 8

6J K

L

34

3

5

G

H I

sin J =

cos J =

tan J =

sin G =

cos G =

tan G =

Find the value of each variable:

C

B A23

34

s

t9

x

y

70°

Angle of Elevation & Depression- Angle of Depression:

Angle from a horizontal line DOWN

- Angle of Elevation: Angle from a horizontal line UP

Example- Now we can solve!

The angle of elevation from the base to the top of a waterslide is about 13°. The slide extends horizontally about 58.2 m. Estimate the height h of the slide.