No. Only if the ground is level and the light source is very far away and at a 45 degree angle.
To find the height of a shadow, you can use similar triangles. Measure the height of the object casting the shadow and the length of the shadow itself. Then, using a known reference height and its corresponding shadow length, set up a proportion: (height of object)/(length of shadow) = (height of reference)/(length of reference shadow). Solve for the unknown height.
By means of trigonometry if you know the angle of elevation or by comparing it with a nearby object if you know its height and shadow length.
The two triangles shown are similar triangles. Numerically, the ratio computed by dividing the length of any side of tower triangle by the length of the corresponding side of the walking stick (similar) triangle will be the same value. Therefore, when the length of the tower shadow is divided by the length of the walking stick shadow, that ratio will be the exactly same as the tower height divided by the walking stick height. (length of tower shadow)/(length of walking stick shadow) = (tower's height)/(walking stick height) tower's height = {(length of tower shadow)/(length of walking stick shadow)}*(walking stick height)
To determine the height of the tree based on the shadow length, we can use the concept of similar triangles. If the tree casts a shadow of 1 foot while a 1-foot pole also casts a shadow of 1 foot, then the height of the tree is the same as the height of the pole. Thus, the tree is also 1 foot tall.
No! Length squared will be the length times the length again. Length times height is going to find the area so it will not be the same.
To find the height of a shadow, you can use similar triangles. Measure the height of the object casting the shadow and the length of the shadow itself. Then, using a known reference height and its corresponding shadow length, set up a proportion: (height of object)/(length of shadow) = (height of reference)/(length of reference shadow). Solve for the unknown height.
By means of trigonometry if you know the angle of elevation or by comparing it with a nearby object if you know its height and shadow length.
The two triangles shown are similar triangles. Numerically, the ratio computed by dividing the length of any side of tower triangle by the length of the corresponding side of the walking stick (similar) triangle will be the same value. Therefore, when the length of the tower shadow is divided by the length of the walking stick shadow, that ratio will be the exactly same as the tower height divided by the walking stick height. (length of tower shadow)/(length of walking stick shadow) = (tower's height)/(walking stick height) tower's height = {(length of tower shadow)/(length of walking stick shadow)}*(walking stick height)
To determine the height of the tree based on the shadow length, we can use the concept of similar triangles. If the tree casts a shadow of 1 foot while a 1-foot pole also casts a shadow of 1 foot, then the height of the tree is the same as the height of the pole. Thus, the tree is also 1 foot tall.
NO.
The length of the shadow (on a flat, horizontal floor) depends on the height of the Sun. If the Sun is higher in the sky, the shadow will become shorter.
So long as the sun is the same height above the horizon your shadows will be the same length whether it is morning or evening.
The length and position of a shadow depend on the angle of the light source, the distance between the object and the surface the shadow falls on, and the height of the object casting the shadow.
Because the length of your shadow, is dependent on the position of the sun. The higher the sun is in the sky, the shorter your shadow is. When the sun is low on the horizon in early morning or late evening, you present a larger 'image' and therefore your shadow is bigger.
No! Length squared will be the length times the length again. Length times height is going to find the area so it will not be the same.
you must have your lenght and hypotenus and use the pythagorean thearom to figure it outa2 plus b2= c2===========================Answer #2:The first answer is technically correct, and in the practical sense, totally useless.Without using your shadow, plus a rather difficult measurement, you don't havethe length of the hypotenuse. If you're willing to go to that much trouble, youmight as well measure the shadow and be done with it.Here's an alternative proposal. It requires that you know your own height, andhave either your calculator in your pocket, or your slide rule dangling from yourbelt. If you have a window, then you can do it without even going outside:-- Measure or estimate the sun's "altitude" ... its angle above the horizon.-- Divide your height by the tangent of the sun's altitude.-- The quotient is the length of your shadow on flat, horizontal ground.
By its shadow :) Then I measure mine shadow, or shadow of any object I know how high is.. and use proportion: HW/MH=WS/MS or HW=MH x WS/MS HW=wood height MH=mine height WS=length of wood shadow MS=length of mine shadow