Given:
Right triangle with base 9 and height x
θ = 61°
To find:
The value of x
Solution:
Base = Adjacent side = 9
Height = Opposite side = x
Using basic trigonometric ratio formula:
[tex]$\tan \theta =\frac{\text{Opposite side of} \ \theta}{\text{Adjacent side of} \ \theta}[/tex]
[tex]$\tan61^\circ =\frac{x}{9}[/tex]
The value of tan 61° = 1.8
[tex]$1.8=\frac{x}{9}[/tex]
Multiply by 9 on both sides.
[tex]$1.8\times 9 =\frac{x}{9}\times 9[/tex]
[tex]16.2 =x[/tex]
The value of x is 16.2 units.
