According to Rule (5)(see page 53), the side opposite = hypotenuse x sine.

Therefore:

Side A

= 10 inches x .5 (sine of the

(the side

30,, angle)

opposite the

30,, angle)

= 5 inches (or 1/2 the length of

the hypotenuse)

FIGURE 24.

RELATIONSHIP BETWEEN 30,, AND 60,, ANGLES.

(2) In figure 24, A is the side opposite the 30,, angle, C is the

hypotenuse, and B is the adjacent side. Sine 60,, equals .866 (Table 11 on

the following page); and since sine 60,, = side opposite + hypotenuse = B/C,

then B/C = .866.

Therefore, B = .866 x C, the hypotenuse.

Thus, the

following relationship is derived:

side opposite 60,, angle = .866 x

hypotenuse.

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