Basic Mathematics for College Students

83. Evaluate for and.


84. Evaluate for and.

Use a calculator (or the square root table in Appendix III) to
complete each square root table. Round to the nearest
thousandth when an answer is not exact.See Example 8.

b 2 c^2 a^2 c 17 a 8

a 2 c^2 b^2 c 25 b 24 96. RADIO ANTENNAS Refer to the illustration

below. How far from the base of the antenna is

each guy wire anchored to the ground? (The

measurements are in feet.)

97. BASEBALL The illustration below shows some
    dimensions of a major league baseball field. How far
    is it from home plate to second base?


98. SURVEYING Refer to the illustration below.
    Use the imaginary triangles set up by a surveyor to
    find the length of each lake. (The measurements are
    in meters.)

a.

b.

Length: √93,025

Length:

√318,096

90 ft

90 ft

√16,200 ft

Anchor

point

Anchor

points

√ 144 √ 16

√ 36

4.6 Square Roots 393

Square

Number Root

1 2 3 4 5 6 7 8 9

10

Square

Number Root

10

20

30

40

50

60

70

80

90

100

Use a calculator (or a square root table) to approximate each of
the following to the nearest hundredth.See Example 8.

Use a calculator to approximate each of the following to the
nearest thousandth.See Example 8.

APPLICATIONS

In the following problems, some lengths are expressed as square
roots. Solve each problem by evaluating any square roots. You
may need to use a calculator. If so, round to the nearest tenth
when an answer is not exact.

95. CARPENTRY Find the length of the slanted side of
    each roof truss shown below.
    a.

b.

8 ft

100 ft

6 ft

25 ft

4 ft

3 ft

 1 11.1 1 0.145

1 24.05 1 70.69

166 1204

115 151