Answer:
tanθ = [tex]\frac{15}{8}[/tex]
Step-by-step explanation:
let the unknown side be x , then
Using Pythagoras' identity in the right triangle
x² + 5² = 17²
x² + 25 = 289 ( subtract 25 from both sides )
x² = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Then
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{15}{8}[/tex]
