Question

solve for x. round to the nearest tenth of a degree, if necessary.

Explanation:

Step1: Use tangent function

In right - triangle \(ABC\), \(\tan x=\frac{AB}{BC}\). Here, \(AB = 60\) and \(BC=63\), so \(\tan x=\frac{60}{63}=\frac{20}{21}\).

Step2: Find the angle

We know that \(x = \arctan(\frac{20}{21})\). Using a calculator, \(x=\arctan(\frac{20}{21})\approx43.6^{\circ}\).

Answer:

\(43.6^{\circ}\)