Question

1. solve for x. round to the nearest tenth. 19 23 x° x =

Explanation:

Step1: Use the tangent function

In a right - triangle, the tangent of an angle \(x\) is given by \(\tan x=\frac{\text{opposite}}{\text{adjacent}}\). Here, the opposite side to angle \(x\) is \(19\) and the adjacent side is \(23\). So, \(\tan x=\frac{19}{23}\).

Step2: Solve for \(x\)

Take the inverse tangent (arctan) of both sides. \(x = \arctan(\frac{19}{23})\). Using a calculator, \(x=\arctan(0.8261)\approx39.4^{\circ}\)

Answer:

\(39.4\)