The value of h is 11.3.
Solution:
Given data:
The triangle is a right triangle.
θ = 45° and opposite side of θ = 8
The value of sin 45° = [tex]\frac{1}{\sqrt{2} }[/tex]
Using trigonometric formula,
[tex]$\sin\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]$\sin45^\circ=\frac{{8}}{h}[/tex]
[tex]$\frac{1}{\sqrt{2} } =\frac{{8}}{h}[/tex]
Do cross multiplication.
[tex]h = 8\sqrt 2[/tex]
h = 11.3
The value of h is 11.3.
