Question

80 PTS
In the triangle below X=[?] cm. Round to the nearest tenth.

Answer 1

x = 8.6 cm

Explanation:

To find x, we need to take the sin ratio of the 35° angle.

Identity

• sin∠x = opposing side length / length of hypotenuse

Solving

• sin35° = 0.57
• sin35° = x/15
• ⇒ x/15 = 0.57
• ⇒ x = 15 × 0.57
• ⇒ x = 8.55 cm
• ⇒ x = 8.6 cm