Question

Consider the triangle ABC with C = 90 degrees, A = 70 degrees and c = 22 Compute the length of side a.

Answer 1

20.67 units to the nearest hundredth.

Explanation:

Use the sine rule:

a / sin A = c / sin C so

a / sin 70 = 22/ sin 90

a / sin 70 = 22/1

a = 22 sin 70

a = 20.67.

Answer 2

20.67

Explanation:

The sine function is the ratio of opposite side to hypotenuse:

sin(A) = a/c

a = c·sin(A) = 22·sin(70°)

a ≈ 20.67 . . . . units