CHAPTER 2 PRACTICE TEST

As a study aid, we have included complete solutions for each Practice Test problem at the back of this book.

  1. In Fig. 2.146, determine  ∠ 1.

    Intersecting lines.

    Fig. 2.146

  2. In Fig. 2.146, determine  ∠ 2.

  3. A tree is 8.0 ft high casts a shadow 10.0 ft long. At the same time, a telephone pole casts a shadow 25.0 ft long. How tall is the pole?

  4. Find the area of a triangular wall pennant of sides 24.6 cm, 36.5 cm, 40.7 cm.

  5. What is the diagonal distance between corners of a rectangular field 125 ft wide 170 ft long?

  6. An office building hallway floor is designed in the trapezoidal shape shown in Fig. 2.147. What is the area of the hallway?

    A right trapezoid shares a dashed side with a right triangle.

    Fig. 2.147

  7. What is (a) the mass (in kg) of a cubical block of ice, the edge of which is 0.40 m (the density of ice is 0.92 × 103kg / m3), (b) the surface area of the block?

  8. Find the surface area of a tennis ball whose circumference is 21.0 cm.

  9. Find the volume of a right circular cone of radius 2.08 m height 1.78 m.

  10. In Fig. 2.148, find  ∠ 1.

    A diagram of a circle.

    Fig. 2.148

  11. In Fig. 2.148, find  ∠ 2.

  12. In Fig. 2.149, find the perimeter of the figure shown. It is a square with a semicircle removed.

    A square with sides of 2.25 centimeters has a semicircle removed within the plane; the semicircle has a diameter along one of the sides of the square.

    Fig. 2.149

  13. In Fig. 2.149, find the area of the figure shown.

  14. The width of a marshy area is measured at 50-ft intervals, with the results shown in the following table. Using the trapezoidal rule, find the area of the marsh. (All data accurate to two or more significant digits.)

    Distance (ft) 0 50 100 150 200 250 300
    Width (ft) 0 90 145 260 205 110  20
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