Given:
Right triangle with base 12 cm and height is x.
θ = 35°
To find:
The value of x.
Solution:
Base = Adjacent side = 12 cm
Height = Opposite side = x
Using basic trigonometric ratio formula:
[tex]$\tan \theta =\frac{\text{Opposite side of} \ \theta}{\text{Adjacent side of} \ \theta}[/tex]
[tex]$\tan35^\circ =\frac{x}{12}[/tex]
The value of tan 35° = 0.7
[tex]$0.7=\frac{x}{12}[/tex]
Multiply by 12 on both sides.
[tex]$0.7\times 12 =\frac{x}{12}\times 12[/tex]
[tex]$8.4 =x[/tex]
The value of x is 8.4 cm.
