+

Day 4: Using Pythagorean Theorem and Trig to Find Missing Sides Unit 5 – Trigonometric Functions

+Warm Up: Pythagorean Theorem Review

n  Grab the Guided Notes from the front of the Room and fill in the following:

n  Now complete the four examples for part d.

10 minutes

End

+Pythagorean Theorem

+Group Activity Part 1

n  Each group will be given an envelope of triangles, all with the same “selected angle”.

n  Write the Angle Measure on your group’s Calculating Ratios Worksheet

n  Divide the triangles among your group and measure the sides of each triangle to the nearest millimeter.

n  Record the measurements on the worksheet.

Part 2

n  Determine each indicated ratio and write it as a fraction, then as a decimal with three decimal places.

Part 3

n  Find the average of each column.

+Plotting our Ratios

n  Send two people up from your group to place the RED sticker

at the correct value for your ratio.

n  Send two people up from your group to place the BLUE

sticker at the correct value for your ratio.

n  In your groups, take three minutes to write down any

observations you notice about the points using the back of

your group worksheet. Be prepared to share with the class.

oppositehypotenuse

adjacenthypotenuse

+ = sin(x)

1

.75

.5

.25

0 10º 20º 30º 40º 50º 60º 70º 80º 90º

oppositehypotenuse

+ = cos(x)

1

.75

.5

.25

0 10º 20º 30º 40º 50º 60º 70º 80º 90º

adjacenthypotenuse

+

oppositeadjacent

What do you think will be?

tan(x) oppositeadjacent

=

+Guided Notes

n  See Guided Notes online.

+Classwork

n  Complete the six problems on the hand out

+Extension – How tall is it??

n  There’s a light out on the very top of the WRAL tower and it needs to be replaced!

n  How high up do you need to go to get to the top?

n  Standing in the Papa Johns parking lot, you are 220.5 feet from the base of the tower.

n  You measure that the angle from the ground to the top of the tower is 53.7º.

n  Can you find the height?

+

x

220.5 ft

53.7º

+Independent Practice

n  Solve for the missing sides.