Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles...

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Minds On: Choose 1. Find its Volume.

Transcript of Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles...

Page 1: Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles of triangles using SIMILAR TRIANGLES Find side lengths.

Minds On: Choose 1. Find its Volume.

Page 2: Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles of triangles using SIMILAR TRIANGLES Find side lengths.

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

Page 3: Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles of triangles using SIMILAR TRIANGLES Find side lengths.

Recall

θ

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Page 4: Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles of triangles using SIMILAR TRIANGLES Find side lengths.

Recall

73.7°24 m7 m

25 m

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Page 5: Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles of triangles using SIMILAR TRIANGLES Find side lengths.

Recall

• Sin 67 =

• Cos 89 =

• Tan 3 =

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Page 6: Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles of triangles using SIMILAR TRIANGLES Find side lengths.

How long is x?

56°x

2 ½ in.

y

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Page 7: Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles of triangles using SIMILAR TRIANGLES Find side lengths.

How long is y?

56°3 ¾ in. 2 ½ in.

y

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Page 8: Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles of triangles using SIMILAR TRIANGLES Find side lengths.

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).

Page 9: Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles of triangles using SIMILAR TRIANGLES Find side lengths.

• How long is x?

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Now you try

Page 10: Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles of triangles using SIMILAR TRIANGLES Find side lengths.

Find θ

θ5.2 m

6.8 m

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Page 11: Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles of triangles using SIMILAR TRIANGLES Find side lengths.

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.

Page 12: Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles of triangles using SIMILAR TRIANGLES Find side lengths.

θ

Now you try• Find angle θ θ

LESSON 8 - FINDING SIDE AND ANGLE MEASUREMENTS WITH TRIGONOMETRIC RATIOS

Page 13: Minds On: Choose 1. Find its Volume.. MINI-TEST COMING UP ON WEDNESDAY Find side lengths and angles of triangles using SIMILAR TRIANGLES Find side lengths.

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