CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 8. Right Triangle Trigonometry


8.6 Inverse Trigonometric Ratios


Learning Objectives



  • Use the inverse trigonometric ratios to find an angle in a right triangle.

  • Solve a right triangle.

  • Apply inverse trigonometric ratios to real-life situation and special right triangles.


Review Queue


Find the lengths of the missing sides. Round your answer to the nearest hundredth.


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  1. Draw an isosceles right triangle with legs of length 3. What is the hypotenuse?

  2. Use the triangle from #3, to find the sine, cosine, and tangent of 45◦.
    5.Explain why tan 45◦=1.


Know What?The longest escalator in North America is at the Wheaton Metro Station in Maryland. It is 230 feet
long and is 115 ft high. What is the angle of elevation,x◦, of this escalator?

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