Question

plete all problems before submitting. if you need to use the desmos calculator, c w.
question 2
find the value of x. round answers to the nearest tenth (one decimal place).
23°
16
x =

Explanation:

Step1: Identify the trigonometric ratio

We have a right triangle with an angle of \(23^\circ\), adjacent side to the angle is \(16\), and hypotenuse is \(x\). The cosine of an angle in a right triangle is defined as \(\cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}\). So, \(\cos(23^\circ)=\frac{16}{x}\).

Step2: Solve for \(x\)

Rearrange the formula to solve for \(x\): \(x = \frac{16}{\cos(23^\circ)}\). Calculate \(\cos(23^\circ)\approx0.9205\). Then \(x=\frac{16}{0.9205}\approx17.4\).

Answer:

\(17.4\)