The illustration underneath displays a wave.

Question

\begin{center}
\begin{tikzpicture}[scale=0.8]
\draw[<->] (0,0) -- (10,0) node[right] {40 cm};
\draw[<->] (0,0) -- (0,4) node[above] {12 cm};
\draw[dashed] (0,2) -- (10,2) node[right] {Rest Position};
\draw (0,2) to[out=0,in=180] (2,0) to[out=0,in=180] (4,2) to[out=0,in=180] (6,0) to[out=0,in=180] (8,2) to[out=0,in=180] (10,0);
\draw (0,0) node[below] {0 cm};
\draw (2,0) node[below] {10 cm};
\draw (4,0) node[below] {20 cm};
\draw (6,0) node[below] {30 cm};
\end{tikzpicture}
\end{center}

What is the distance between one trough and the other trough?
(1 point)

A. 50cm B. 6cm C.20cm D.12cm

Answer 1

To find the distance between one trough and the other trough in the given wave illustration, we need to identify the distance between two consecutive troughs.

In the illustration, each complete wave cycle consists of one crest, one trough, and returns to the rest position. The wave appears to repeat every 20 cm, as indicated by the points marked in centimeters.

Thus, the distance from one trough to the next trough would be half of this wave cycle, since each cycle contains one crest and two troughs. Therefore, the distance between one trough and the next trough is 20 cm.

The correct answer is:

C. 20cm