Question

question 3 (fill-in-the-blank worth 4 points)
(05.03 mc)
find the measure of angle x. round your answer to the nearest hundredth. (please type the numerical answer only)
numerical answers expected!
answer for blank 1

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 side opposite to angle \(x\) is \(8\) and the side adjacent to angle \(x\) is \(15\). So, \(\tan x=\frac{8}{15}\).

Step2: Find the angle \(x\)

We know that \(x = \arctan(\frac{8}{15})\). Using a calculator, \(x=\arctan(\frac{8}{15})\approx28.07^{\circ}\)

Answer:

\(28.07\)