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Is there a relationship between the height of the sun in the sky and the length of the shadow?
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How can you calculate height of a pyramid by measuring the length of its shadow?
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.
What will be the height of the shadow cast by a person standing near a 20 ft light post.The height of the person is 6 ftThe distance between man and pole is 10 ft?
It is zero: 0cm; 0mm A shadow has no height: length yes, but height no
I have no idea how to go about this question on my geometry homework! Can someone help me?
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)
What tool do you use to measure the height of a school?
(1) One way would be to have a stick, stuck vertically into the ground. Measure the length of the shadow and the length of the stick. The actual height of the stick will be a ratio of the shadow's length. Then measure the length of the school's shadow. The height of the school in comparison with its shadow length will be same ratio as the height of the stick compared to its shadow length. You could use a tape measure for this. And possibly a calculator, which will make the calculation easier than doing it by long arithmetic or mental arithmetic. (2) Another way would be to use something that can tell you, from a short distance away from the school, the angle between the top of the school and the ground. A sextant can do this. It is more accurate than using a protractor. Using trigonometry and the distance from the building to where you are standing, you will be able to calculate the height of the school, because it will be at right angles to the line from you to the school. If you don't know trigonometry, method (1) will be easier.
What is the height of the tree if it casts a shadow 146 feet long?
It depends on the time of day because the angle of the sun will determine the shadow length
How can you calculate height of a pyramid by measuring the length of its shadow?
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.
What will be the height of the shadow cast by a person standing near a 20 ft light post.The height of the person is 6 ftThe distance between man and pole is 10 ft?
It is zero: 0cm; 0mm A shadow has no height: length yes, but height no
How does the length of a shadow change during the yearwhy does this happen?
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.
How do you measure wood size?
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
What will be the shadow length at 4 pm?
The answer depends on: the height of the item casting the shadow, the location on earth, the time of year, and the inclination of the surface on which the shadow is cast.
The closer the light source the shadow is what?
The closer the light source the larger is the shadow. You can understand this effect using the paraxial aproximation of light theory. If you draw lines from the light source to the edges of an object, there is an angle (call it alpha) between the these lines and the orthonormal vector to the object. The shorter the distance between the light and the object, the higher is alpha (because the height of the object is always the same): tan(alpha) = (height of the object)/(distance between light and object) Of course the relationship between the height of the shadow and the angle is the same: tan(alpha) = (height of the shadow)/(distance to the wall in which the shadow is proyected) So, the higher the angle alpha (and closer the distance between light and object), the heigher is the shadow.
I have no idea how to go about this question on my geometry homework! Can someone help me?
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)
How can you find the height of tree?
Using trigonometery if you know the length of its shadow and angle of elevation
What tool do you use to measure the height of a school?
(1) One way would be to have a stick, stuck vertically into the ground. Measure the length of the shadow and the length of the stick. The actual height of the stick will be a ratio of the shadow's length. Then measure the length of the school's shadow. The height of the school in comparison with its shadow length will be same ratio as the height of the stick compared to its shadow length. You could use a tape measure for this. And possibly a calculator, which will make the calculation easier than doing it by long arithmetic or mental arithmetic. (2) Another way would be to use something that can tell you, from a short distance away from the school, the angle between the top of the school and the ground. A sextant can do this. It is more accurate than using a protractor. Using trigonometry and the distance from the building to where you are standing, you will be able to calculate the height of the school, because it will be at right angles to the line from you to the school. If you don't know trigonometry, method (1) will be easier.
What would the length of shadow cast by a pole be if the incident rays of the sun were direct?
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.
What is the length of the shadow at midday?
It's determined by the height (angle above the horizon) of the Sun, and the physical height of the object throwing the shadow. The height of the Sun at midday is 90 degrees minus the latitude plus the Sun's declination of the day, which varies by up to ±23.5 degrees through the year. The length of the shadow is the height of the object divided by the tangent of the Sun's height. Example, a 6 ft object at 50 degrees north on June 21: height of the object is 6 ft, divided by tan(90 - 50 + 23.5) so the shadow has a length of 3 ft.
What is the height of the tree if it casts a shadow 146 feet long?
It depends on the time of day because the angle of the sun will determine the shadow length
