Answer:
4.33
Step-by-step explanation:
1. Pythagoras Theorem
[tex]25 = \sqrt{3^{2}+b^{2}}[/tex]
2. Find b
[tex]5 = 3^{2}+b^{2}[/tex]
[tex]b^{2}[/tex] = [tex]5-3^{2}[/tex] = [tex]5-9[/tex] = -4
but sqrt(-4) is not possible
b ≅ 4
OR (Require trig knowledge)
1. Sine Rule
[tex]\frac{a}{sin\alpha}=\frac{b}{sin\beta}=\frac{c}{sin\pi }[/tex]
2. Plug in numbers
[tex]\frac{5}{sin90}=\frac{b}{sin60}=\frac{3}{sin30}[/tex]
b ≅ 4.33
