EXAMPLE

Given an acute angle and the opposite side in figure 19, find angle B and

sides "b" and "c."

SOLUTION

Here, side "b" is the adjacent side to angle A and "c" is the hypotenuse.

Angle B = 90,, - A = 74,, 5'.

According to rule (9)(see page 53), side

adjacent = side opposite x cotangent.

Substituting 1.7 inch for side

opposite and 3.5067 for cotangent, side adjacent = 1.7 x 3.5067 = 5.961

inch.

According to rule 11, hypotenuse = side opposite + sine.

Substituting 1.7 inch for side opposite and .2742 for sine, side opposite =

FIGURE 19.

FIND ANGLE B AND SIDES "B" AND "C."