Answer:
[tex]\frac{3}{\sqrt{55} }[/tex]
Step-by-step explanation:
We require to find the third side of the triangle.
Using Pythagoras' identity.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x represent the third side, then
x² + 3² = 8², that is
x² + 9 = 64 ( subtract 9 from both sides )
x² = 55 ( take the square root of both sides )
x = [tex]\sqrt{55}[/tex]
Thus
tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{3}{\sqrt{55} }[/tex]
