Two people enter a whispering gallery and want to know where they should stand so they can hear the other person's whisper. The
gallery is 100 feet wide and the vertical distance from their head to the peak of the ceiling is 30 ft.
1 answer:
Answer:
The two people should stand 40 feet from the center so that they can hear each other whisper
Step-by-step explanation:
From the question
Width of the gallery = 100 feet
Width = 2a
a = Width/2
a = 100/2 = 50 feet
Height of the gallery = b = 30 feet
Hence, the distance is
d² = a² - b²
d = √a² - b²
d = √50² - 30²
d = √2500 - 900
d = √1600
d = 40 feet
Hence, the two people should stand 40 feet from the center so that they can hear each other whisper.
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