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The height of a boy that casts a 4 foot long shadow depends on the angle of the sun. A tangent can be used to calculate his height if we know the angle of the sun using the equation:
Height = shadow length x tangent of the angle of the sun.
Using a calculator, it is easy to get the value of the tangent for any angle and then complete the equation.
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A 10 ft tree casts a 14 ft shadow If a building casts a 280 ft shadow how tall is the building?
You take 280 times 10 and then divide that by 14 which equals 200 ft.
How is a tree that casts a 28-ft shadow at the same time a 4-ft pole casts a shadow which is 9-ft long?
The height of the tree is in direct proportion to the pole and its shadow
If a 4ft post casts a shadow of 7m what height is a tree that casts a shadow of 35m?
(35/7)*4 = 20 Ft.
How tall is a tree that casts a 25 foot shadow at the same time a 6 foot stick casts a shadow 4.5 feet long?
A stick is 6/4.5 = 4/3 times its shadow. So the tree is 4/3*25 = 33.3... feet or 33 ft 4 inches tall.
At a certain time of day a tree casts a 9 foot shadow at the same time that a person 6 feet tall casts a 4 foot shadow What is the height of the tree?
If the shadow of a 6-ft person is 4-ft long, then in this place at this moment, all shadowsare 2/3 the length of the vertical object that casts them.The 9-ft shadow therefore 2/3 the height of the tree. The height is (9)/(2/3) = (9 x 3/2) = 13.5-ft.-----------------------------------------(9/4)*6=13.5 ft.
