Question

what is the approximate value of x? round to the nearest tenth. 50° 6 cm 3.1 cm 3.9 cm 4.6 cm 5.4 cm

Explanation:

Step1: Identify right triangle elements

Hypotenuse = 6 cm, angle = 50°, x is opposite 50°.

Step2: Apply sine function

$\sin(50^\circ) = \frac{x}{6}$

Step3: Solve for x

$x = 6 \times \sin(50^\circ)$

Step4: Calculate and round

$\sin(50^\circ) \approx 0.766$, $x \approx 6 \times 0.766 \approx 4.6$

Answer:

C. 4.6 cm