Given:
The height of statue is x
The right angles triangle is shown where angle of elevation is 66 degrees and base is 4 m
To find: x
Using trigonometric ratio in the right angled triangle,
[tex]\tan 66^{\circ}=\frac{perpendicular}{\text{base}}[/tex]
Here, perpendicular=x and base =4 m
[tex]\tan 66^{\circ}=\frac{x}{4}[/tex][tex]\begin{gathered} x=\tan 66^{\circ}\times4 \\ =2.246\times4 \\ =8.984 \end{gathered}[/tex]
Thus, height of statue is 8.98 m
Hence, option (1) is correct.
