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Applying Trigonometric Ratios

Applying Trigonometric Ratios. 15. y. 25 . x. Finding the missing sides. Steps 1. Look at the figure or read the problem. 2. What information do you have? 3. Decide which trig ratio you can use given your information.

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Applying Trigonometric Ratios

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  1. Applying Trigonometric Ratios

  2. 15 y 25 x Finding the missing sides Steps 1. Look at the figure or read the problem. 2. What information do you have? 3. Decide which trig ratio you can use given your information. 4. Write an equation using the trig ratio that allows you to solve_______________.

  3. 15 y 25 x

  4. y 9 37 x

  5. y 9 x 8 Find the missing angle Same steps to start! Pick the one ratio that you can use.

  6. Applications Angle of elevation \ Angle of depression– the angle formed between the line of sight and the horizontal.

  7. A ladder that is 20 feet long is leaning against the side of a building. If the angle formed between the ladder and the ground is 75, how far from the bottom of the building is the ladder?

  8. From a point 80 m from the base of a tower, the angle of elevation to the top of the tower is 28. How tall is the tower?

  9. A person in a lighthouse 22 m above sea level sights a buoy in the water. If the angle of depression to the buoy is 25, how far from the base of the lighthouse is the buoy?

  10. At a certain time, a post 6 ft tall casts a 3 ft shadow. What is the angle of elevation of the sun?

  11. An observer on top of a building sees a car on the road below. The car is about 50 m from the building when it is seen. The building is 27 m tall. What is the angle of depression?

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