Prentice Hall Algebra 1

Practice and Problem-Solving Exercises

A Practice

See Problem 1.

For cap delta f g h  and cap delta l m n comma  find the value of each expression.

Right triangle FGH has side FH that measures 5 units, side GH that measures 12 units, and side FG that measures 13 units. Right triangle LMN has side LN that measures 8 units, side MN that measures 15 units, and side LM that measures 17 units.

  1. sine f
  2. cosine f
  3. tangent g
  4. cosine l
  5. tangent m
  6. sine m
  7. tangent f
  8. sine g
  9. tangent l

See Problem 2.

Find the value of each expression. Round to the nearest ten-thousandth.

  1. sine , 10 degrees
  2. tangent , 25 degrees
  3. cosine , 85 degrees
  4. tangent , 12 degrees
  5. sine , 70 degrees
  6. cosine , 22 degrees
  7. sine , 71 degrees
  8. tangent , 30 degrees

See Problem 3.

Find the value of x to the nearest tenth.

  1. A right triangle. The hypotenuse  measures 14 units. One angle adjacent to the hypotenuse measures 67 degrees. The leg adjacent to this angle measures x units.
  2. A right triangle. The hypotenuse measures 14 units. One angle adjacent to the hypotenuse measures 48 degrees. The leg opposite this angle measures x units.
  3. A right triangle. One angle that measures 32 degrees. The leg opposite this angle measures 12 units. The other leg measures x units.
  4. This right triangle has one angle that measures 41 degrees. The leg opposite this angle measures 25 units. The hypotenuse measures x units.
  5. This right triangle has one angle that measures 32 degrees. The leg adjacent to this angle measures 56 units. The hypotenuse measures x units.
  6. This right triangle has one angle that measures 36 degrees. The leg adjacent to this angle measures 29 units. The leg opposite this angle measures x units.

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Table of Contents

Prentice Hall Algebra 1 Chapter 1 Foundations for Algebra Chapter 2 Solving Equations Chapter 3 Solving Inequalities Chapter 4 An Introduction to Functions Chapter 5 Linear Functions Chapter 6 Systems of Equations and Inequalities Chapter 7 Exponents and Exponential Functions Chapter 8 Polynomials and Factoring Chapter 9 Quadratic Functions and Equations Chapter 10 Radical Expressions and Equations Chapter 11 Rational Expressions and Functions Chapter 12 Data Analysis and Probability Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments