Question

find x. round your answer to the nearest integer.

a. 20
b. 12
c. 15
d. 21

Explanation:

Step1: Identify trigonometric ratio

The side \(x\) is opposite the \(53^\circ\) angle, and the hypotenuse is 25. Use sine: \(\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\).

Step2: Set up equation

\(\sin(53^\circ) = \frac{x}{25}\)

Step3: Solve for x

\(x = 25 \times \sin(53^\circ)\). \(\sin(53^\circ) \approx 0.8\), so \(x \approx 25 \times 0.8 = 20\).

Answer:

A. 20