Given:
The angle of elevation of the mountain is 54 degrees.
The base of mountain is 700 ft.
The objective is to calculate the height of the mountain.
Using trigonometric ratio,
[tex]\begin{gathered} \tan 54^{\circ}=\frac{perpendicular}{\text{base}} \\ =\frac{height}{700} \end{gathered}[/tex]
Solving for height,
[tex]\begin{gathered} \text{height}=700\times\tan 54^{\circ} \\ =700\times1.37638192047 \\ =963.46734428\text{ ft} \end{gathered}[/tex]
Therefore, value of x = 963 ft.
