Trigonometric Ratios Schedule Start Nearpod Goal Review Problems

Trigonometric Ratios Schedule Start Nearpod Goal Review Problems Discussion Word problems Discussion Poll: Lesson Feedback Questions? Learning Log Extra Time? Extension Activity

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QUIZ!!!

SOLUTIONS Sine Cosine Tangent

Did you recognize other methods or "shortcuts" to use in any of the problems? If so, explain.

Rock Climbing David and Emily are climbing El Capitan, a big cliff wall in Yosemite National Park. David is on the ground holding the rope attached to a karabiner (a rope “pulley” that is on the wall) above Emily as she climbs. When Emily stops to rest, David wonders how high she has climbed.

David’s Question The rope is attached to his waist, about 3 feet off of the ground, and he has let out 48 feet of rope which goes up to the karabiner and then back down the wall to Emily’s harness. The rope at David’s waist makes a 55° angle with the ground and he is standing 20 feet away from the base of the wall.

Draw It Assuming that the rope is taut (i. e. , pulled tight), approximately how long is the rope between David and the karabiner above Emily?

Possible Solution

She wrote & solved an equation. Her work is shown below. Explain what she did in each step.

Ziv solved it differently. He used the equation to the below. Explain why they both got the answer correct.

Did you find the same value for y using both cosine and sine? Yes No

Explain how you know which trigonometric ratio to use. Be sure to include examples!

Based off of this lesson, how comfortable do you feel identifying and applying trigonometric ratios? Very comfortable Comfortable Somewhat comfortable Not comfortable

What questions do you still have about trigonometric ratios or do you just want more practice?

Extension �Click exit in the top right corner �Click yes and exit the presentation �Go to Student �Enter PIN: IBGMK �Enter your name

Can we find the degree of an angle with the trig ratios we currently have? Yes No

From the ratio of side lengths, which angles can you find?

How can you use information about the side lengths to help you figure out the reference angle?