Given:
The vertical height is 30ft.
The angle of elevation is 30 degrees.
To find:
The distance travelled by the person from bottom to top of the escalator.
Explanation:
Let x be the slant distance.
Since it is a right triangle.
Using the trigonometric ratio formula,
[tex]\begin{gathered} \sin\theta=\frac{Opp}{Hyp} \\ \sin30^{\circ}=\frac{30}{x} \\ \frac{1}{2}=\frac{30}{x} \\ x=30\times2 \\ x=60ft \end{gathered}[/tex]
Therefore, the distance travelled by the person from the bottom to the top of the escalator is 60ft.
Final answer:
The distance travelled by the person from bottom to top of the escalator is 60ft.
