Question

find the exact value of tan w in simplest radical form.

answer: (though 1 out of 2)
tan w =

Explanation:

Step1: Identify sides for tan W

In right triangle YXW (right at X), tan W = opposite/adjacent to W. Opposite side: XY = √18; adjacent side: XW = 5.

Step2: Simplify √18

√18 = √(9×2) = 3√2.

Step3: Compute tan W

tan W = 3√2 / 5.

Answer:

$\frac{3\sqrt{2}}{5}$