0
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.
Still curious? Ask our experts.
Chat with our AI personalities
Coach
Beau
DevinAdd your answer:
Earn +20 pts
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.
