Question

find x. round your answer to the nearest tenth of a degree. 25 39 x =

Explanation:

Step1: Use the tangent function

In a right - triangle, \(\tan x=\frac{\text{opposite}}{\text{adjacent}}\). Here, the opposite side to angle \(x\) is \(39\) and the adjacent side is \(25\). So, \(\tan x=\frac{39}{25}\).

Step2: Solve for \(x\)

Take the inverse tangent (arctan) of both sides. \(x = \arctan(\frac{39}{25})\). Using a calculator, \(\frac{39}{25}=1.56\), and \(\arctan(1.56)\approx57.4^{\circ}\).

Answer:

\(57.4\)