Did You Find Out? Get the Answer to the Riddle of E-News Issue No. 1, February 2019
How deep is the pond?
Can you figure out how deep the pond is?
A park contains a large pond whose surface is covered by countless water lilies. One of them is exactly 10 cm above the pond’s water level. Suddenly, a strong wind begins to blow and the water lilies drift away slightly. The lily, which towered 10 cm above the pond`s surface, is now located 60 cm away from its original position directly on the water.
How deep is the pond?
Solution
Calculate the depth of the pond with the help of the Pythagoras Theorem!
Without any wind, the water lily is perpendicular to the ground of the pond and its water surface. Due to the strong wind, the water lily is pushed to the sides and consequently, its stem completely disappears under the water's surface. According to the Pythagoras Theorem, the depth of the pond can be calculated as follows:
x2 + 602 = (x + 10)2
x2 + 3600 = x2 + 20x + 100
20x = 3500
x = 175 (cm)
The pond is 1.75 m deep.
Pepperl+Fuchs GB Ltd.
77 Ripponden Road
Oldham OL1 4EL, Lancs.
United Kingdom
sales@gb.pepperl-fuchs.com
+44 161 6336431
Pepperl+Fuchs is a leading developer and manufacturer of electronic sensors and components for the global automation market. Continuous innovation, enduring quality, and steady growth have been the foundation of our success for more than 70 years. Pepperl+Fuchs employs 6,300 people worldwide and has manufacturing facilities in Germany, USA, Singapore, Hungary, Indonesia and Vietnam, most of them ISO 9001 certified.