Question

solve for x. round to the nearest tenth of a degree, if necessary.
answer attempt 1 out of 2
x =

Explanation:

Step1: Use trigonometric ratio (tangent)

In a right - triangle, \(\tan x=\frac{\text{opposite}}{\text{adjacent}}\). Here, the side opposite to angle \(x\) is \(47\) and the side adjacent to angle \(x\) is \(94\). So, \(\tan x=\frac{47}{94}\).

Step2: Simplify the ratio

\(\frac{47}{94}=\frac{1}{2}\). So, \(\tan x = 0.5\).

Step3: Find the angle \(x\)

We know that if \(\tan x=a\), then \(x = \arctan(a)\). Using a calculator, \(x=\arctan(0.5)\).

Answer:

\(26.6^{\circ}\)