Question

how far does a person travel in ft? this word problem is a little confusing but i understood everything else before this question.

Answer 1

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.

Step-by-step explanation:

Let x be the slant distance.

Since it is a right triangle.

Using the trigonometric ratio formula,

`\begin{gathered} \sin\theta=(Opp)/(Hyp) \\ \sin30^(\circ)=(30)/(x) \\ (1)/(2)=(30)/(x) \\ x=30*2 \\ x=60ft \end{gathered}`

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.