Question

question
solve for x. round to the nearest tenth, if necessary.
(image of a right triangle vut with right angle at u, side ut = 64, angle at t is 70 degrees, and side vt = x)

Explanation:

Step1: Identify trigonometric ratio

Side opposite 70° is \(x\), hypotenuse is 64; use sine: \(\sin(70^\circ) = \frac{x}{64}\)

Step2: Solve for \(x\)

\(x = 64 \times \sin(70^\circ)\)
Calculate \(\sin(70^\circ) \approx 0.9397\), so \(x \approx 64 \times 0.9397 \approx 60.1\)

Answer:

60.1