Answer:
5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Special triangle. 1:1:[tex]\sqrt{2}[/tex]
Here
With reference angle 45°
hypotenuse (h) =x
perpendicular (p) = 5
Let
Sin45° = p/h
1/√2 = 5/ x
therefore x = 5√2
Now
b=?
Using Pythagoras theorem
b² = h² -p²
b² = (5√2)² - 5²
b² = 50 - 25
b² = 25
b² = 5²
Therefore b = 5
tangent = p/b = 5/5 = 1
