Question

Find the length of the third side. If necessary, write in simplest radical form.
3
2

Answer 1

4.2 ft

Explanation:

Reference angle = 77°

Opposite side = DE = x

Hypotenuse = CD = 4.3 ft

Apply the trigonometric function of sine. Thus:

Sin 77 = opp/hyp

Sin 77 = x/4.3

Multiply both sides by 4.3

4.3 × sin 77 = x

x = 4.2 ft (nearest tenth)