Question

solve for x. round your answer to the nearest tenth.

Explanation:

Step1: Use trigonometric ratio

In a right - triangle, we can use the sine function. The sine of an angle \(x\) is given by \(\sin x=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, the side opposite to the angle \(x\) is \(23\) and the hypotenuse is \(24\). So, \(\sin x=\frac{23}{24}\).

Step2: Solve for \(x\)

Take the inverse sine (arcsin) of both sides. \(x = \arcsin(\frac{23}{24})\). Using a calculator, \(x=\arcsin(0.9583)\approx73.5^{\circ}\)

Answer:

\(73.5\)