8-4: Angles of Elevation and Depression Expectations: 1) G1.3.1: Define and use sine, cosine and tangent ratios to solve problems using trigonometric ratios.

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Agenda 1) Bell Work 2) Outcomes 3) Trig Ratio Review

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Presentation transcript:

8-4: Angles of Elevation and Depression Expectations: 1) G1.3.1: Define and use sine, cosine and tangent ratios to solve problems using trigonometric ratios in right triangles. 2) Determine the exact values of sine, cosine and tangent for various angle measures.

Daily Quiz 5/16: The hypotenuse of the right triangle ABC shown below is 17 feet long. The cosine of angle C is 3 / 5. How many feet long is the segment AC? A. A. 6 B. B C. C. 12 D. D. 15 E. E AC 17 B

Angles of Elevation If a situation can be represented by a person looking up, we have an angle of elevation. Angles of elevation are always measured off of the horizontal – never the vertical!!!

Angle of Elevation

Angles of Depression Angles of depression represent situations in which a person looks down. Angles of depression are always measured off of the horizontal – never off of the vertical!!!

Angle of Depression

Charo is 50 feet from a totem pole and looks up at an angle of 75° to see the top of the pole. If Charo is 5 feet tall, how tall is the totem pole?

When measured from a point on the ground that is a certain distance from the base of a cell phone tower, the angle of elevation to the top of the tower is 41°. The height of the cell phone tower is 200 feet. What is the distance, in feet, to the cell phone tower? 41° 200 feet (tower) Distance (?) A.200 tan 41 B.200 sin 41 C.200 cos 41 D.200 sec 41 E.200 cot 41

Betty is at the top of a sledding hill. If she looks down at 32° to see the bottom of the hill and the elevation of the hill is known to be 100 feet, how long is the sled run?

Daily Quiz 5/ Determine the value of x Determine the value of θ ° x 10 θ 7

A pilot is flying at an altitude of 2,500 feet. If she can see the beginning of the landing strip by looking down at an angle of 6°, what is the ground distance from the airport?

Betty is standing on the top of a zip line looking down at Claire at an angle of 18 degrees. If the elevation of the top of the zip line is 65 feet higher than at the bottom, how long is the cable for the zip line?

Assignment pages 423 – 425, # 17 – 27 (odds), 30, 31, 33 a & b, 35 – 43 (odds)