Geometry: Mixed exercises
Mixed exercises
In the park, a sports club has a round speaker with which they want to do a modified version of the Shuttle Run Test. The Shuttle Run Test is a test where you run a straight distance between two lines, and have to turn around at each beep. Usually, the distance between the lines is fixed at #\unit{20}{m}#, but this sports club varies this distance.
The speaker has a range of #\unit{20}{m}#. One of the athletes is running on a straight path next to the speaker. This path is #\unit{13}{m}# away from the speaker. See the sketch for a visual depiction of this set-up
The speaker has a range of #\unit{20}{m}#. One of the athletes is running on a straight path next to the speaker. This path is #\unit{13}{m}# away from the speaker. See the sketch for a visual depiction of this set-up
Calculate the maximum distance between the two lines so that the athlete on the line still hears the beeps. Round your answer to one decimal if necessary. You can ignore the size of the speaker.
#\unit{}{m}# |
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