Prentice Hall Geometry

Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Write the ratios for sine m comma cosine m comma , and tangent m .

  1. Right triangle KLM has hypotenuse LM measuring 25, leg LK measuring 7, and leg MK measuring 24.
  2. Right triangle KLM has hypotenuse LM measuring p, leg LK measuring 4 radical 2, and leg MK measuring 7.
  3. Right triangle KLM has hypotenuse LM measuring 4, leg LK measuring 2 radical 3, and leg MK measuring 2.

See Problem 2.

Find the value of x. Round to the nearest tenth.

  1. A right triangle has hypotenuse measuring 30 and a leg measuring x opposite a 35 degree angle.
  2. A right triangle has hypotenuse measuring 11 and a leg measuring x adjacent to a 41 degree angle.
  3. A right triangle has a leg measuring 7 and a leg measuring x opposite a 64 degree angle.
  4. A right triangle has hypotenuse measuring x and a leg measuring 10 opposite a 36 degree angle.
  5. A right triangle has hypotenuse measuring x and a leg measuring 50 opposite a 28 degree angle and adjacent a 62 degree angle.
  6. A right triangle has a leg measuring x and a leg measuring 10 opposite a 25 degree angle.
  7. Recreation A skateboarding ramp is 12 in. high and rises at an angle of 17 degrees . How long is the base of the ramp? Round to the nearest inch.
  8. Public Transportation An escalator in the subway station has a vertical rise of 195 ft 9.5 in., and rises at an angle of 10 . 4 degrees . How long is the escalator? Round to the nearest foot.

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Table of Contents

Prentice Hall Geometry Chapter 1 Tools of Geometry Chapter 2 Reasoning and Proof Chapter 3 Parallel and Perpendicular Lines Chapter 4 Congruent Triangles Chapter 5 Relationships Within Triangles Chapter 6 Polygons and Quadrilaterals Chapter 7 Similarity Chapter 8 Right Triangles and Trigonometry Chapter 9 Transformations Chapter 10 Area Chapter 11 Surface Area and Volume Chapter 12 Circles Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments