2 An estate agent is measuring the size of a large room in an office block using an ultrasonic
measuring device. She places the transmitter against one wall
and sends a pulse. The pulse takes
0.1 seconds to reach the far wall and return.
a) How long is the room? (Speed of sound in air = 330 m/s)

16.5 m

Explanation:

The following data were obtained from the question:

Time (t) = 0.1 s

Speed of sound in air (v) = 330 m/s

Distance (X) =?

The Lenght (i.e distance) of the room can be obtained as follow:

v = 2X / t

330 = 2 × X / 0.1

Cross multiply

2 × X = 330 × 0.1

2 × X = 33

Divide both side by 2

X = 33/2

X = 16.5 m

Thus, the length of the room is 16.5 m.