you must have your lenght and hypotenus and use the pythagorean thearom to figure it out
a2 plus b2= c2
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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 have
the length of the hypotenuse. If you're willing to go to that much trouble, you
might as well measure the shadow and be done with it.
Here's an alternative proposal. It requires that you know your own height, and
have either your calculator in your pocket, or your slide rule dangling from your
belt. 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.
The length of an object's shadow is determined by ... -- the length of the object, -- the angle between the object's length and the surface on which its shadow appears, -- the distance between the object and the surface on which its shadow appears, -- the angular size of the light source as seen from the object, -- the angle between the direction to the light source and the normal to the object.
The relationship between the size of a shadow of an object and the distance of light source from the object is indirectly proportional. A short distance will make the shadow big while making the distance long will reduce the size of the shadow.
The length of your shadow depends on the angle on the Sun.If it is noon your shadow will be shorter than if It was at 3pm or 9am for at those times your shadow Will be longer.
The light source moves strait above the object
If the direction from which the light comes changes, then the direction of the shadow changes as well. The shadow basically points away from the light source.
Using trigonometery if you know the length of its shadow and angle of elevation
You have two similar triangles with one side the tree, and another the shadow Using the side with the tree, the ratio of the length of the triangles can be found: the triangles are in the ratio of 24 : 40 Thus divide the shadow of the 40ft tree by 40 to find out the length of shadow per foot of tree, and multiply this by 24 to find the length of the shadow of the 24 ft tree. This can be done by using the ratio as a fraction 24/40: → the shadow of the 24 ft tree is 16 ft × 24/40 = 9.6 ft
The length of the shadow is proportional to the height of the post. Thus, if l is the length of the unknown shadow, l/17 = 1.2/5 or l = 4.1 feet. This should be rounded to 4 if the value 5 is not considered to be known to at least two significant digits.
Its shadow will be 50 millimeters in length, if you lay it down on a flat surface.
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.
yes the length of the sun stick does control the distance the shadow moves
Let the length of the shadow be x and use the tangent ratio: 5/1.2 = 17/x Make x the subject of the equation: x = (17*1.2)/5 x = 4.08 feet
[object Object]
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.
We can not tell because we do not know how straight the tree is or if the ground is perpendicular or level.
I am not sure what you mean by "direct" - light tends to travel in a straight line. The length of the shadow depends on the length of the pole, and of the height of the Sun.
Assuming that you don't have access to surveying equipment, one way is to wait until a sunny day and use a 3' rule and a piece of string. Mark a circle on the ground with a radius of 3'. Hold the ruler vertically in the centre of the circle with one end touching the ground. When the shadow of the rule exactly touches the circle, you know the shadow is the same length as the rule. Look for the shadow of the house, place a marker at where the shadow of the top of house ends. Then use a tape measure to measure the distance from the marker to the house. As the rule shadow is the same length as the rule, the house shadow will be the same length as the height of the house.