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.

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Presentation transcript:

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 of triangles using PYTHAGOREAN THEOREM Find side lengths and angles of triangles using SIN, COS, and TAN ratios Find volume/measurements of 3D figures Solving 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 m 7 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 θ 5.2 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 solving for an angle, you’ll need