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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You take 280 times 10 and then divide that by 14 which equals 200 ft.
The height of the tree is in direct proportion to the pole and its shadow
(35/7)*4 = 20 Ft.
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.
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.