Minds On: Choose 1. Find its Volume.

MINI-TEST COMING UP ON WEDNESDAYFind side lengths and angles of triangles using SIMILAR TRIANGLESFind side lengths of triangles using PYTHAGOREAN THEOREMFind side lengths and angles of triangles using SIN, COS, and TAN ratiosFind volume/measurements of 3D figuresSolving for a variable

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Recall

θ

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Recall

73.7°24 m7 m

25 m

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Recall

• Sin 67 =

• Cos 89 =

• Tan 3 =

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

How long is x?

56°x

2 ½ in.

y

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

How long is y?

56°3 ¾ in. 2 ½ in.

y

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Each ratio has room for 3 measurements.

Choose the ratio that includes • 1 measurement you are trying to FIND, and • 2 measurements you already HAVE

Solve by getting the variable by itself (SAMDEB to undo what’s around it).

• How long is x?

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Now you try

Find θ

θ5.2 m

6.8 m

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Each ratio has room for 3 measurements.

Choose the ratio that includes • 1 measurement you are trying to FIND, and • 2 measurements you already HAVE

Solve by getting the variable by itself (SAMDEB to undo what’s around it).

To undo sin, do ____________ to both sides.To undo cos, do ____________ to both sides.To undo tan, do ____________ to both sides.

θ

Now you try• Find angle θ θ

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Each ratio has room for 3 measurements.

Choose the ratio that includes • 1 measurement you are trying to FIND, and • 2 measurements you already HAVE

Solve by getting the variable by itself (SAMDEB to undo what’s around it).

To undo sin, do ____________ to both sides.To undo cos, do ____________ to both sides.To undo tan, do ____________ to both sides.

If you’re so

lving

for an angle,

you’ll need