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That depends upon the time of day, which day of the year it is and where the person is.

The shadow length depends upon the angle of the sun above the horizon:

shadow_length = height_of_person ÷ TAN(angle_of_sun_above_horizon)

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Q: What is the shadow length of person who is 5'4?
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What is the length of the shadow of a person who is 4.75 feet tall the angel of the sun above the horizone is 27.5 degrees?

You are dealing with similar right angle triangles:the top of the shadow, the top of the person and the bottom of the person and shadow form one of themthe top of the shadow, the sun and the horizon form the other.Thus the angle from the top of the shadow to the top of the person is the same as the angle of the sun above the horizon.The trigonometric ratio tan (= opposite_side / adjacent_side) can be used to solve for the length of the shadow:tan angle = height_of_person / length_of_shadowtan 27.5o = 4.75ft / shadowshadow = 4.75ft / tan 27.5o ~= 9.1ft


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How do you use shadows to measure?

You can use shadows to measure the heights of trees, or buildings, as long as you can make two separate measurements at exactly the same time of day. While one person or group measures the length of the shadow of the tree or other object, another person or group carefully measures the length of the shadow cast by a smaller object, such as a person, sign, or pole.The ratio of the length of the shadow to the height of the object will be the same for almost every object casting a shadow at that particular moment of the day. So divide the known or measured height of a person by the length of his shadow to find this ratio, then multiply the other shadow length by this amount, to give a good estimate of the height of the taller object.Example:A tree's shadow at 5 PM is found to stretch 80 feet from the base of the tree.A boy is known to be 5 feet tall, his shadow at 5 PM is 10 feet long.(So the shadow length of other objects, measured at 5 PM, will all be twice their height.)5 ft/ 10 ft = 0.5 and 0.5 x 80 = 40 tells us the tree itself is about 40 feet tall.


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Depends on the time of day (the angle of the sun). Think of the person as being at a right angle to the ground, and the shadow being the other side. The distance from the person's head to the end of the shadow is the hypotenuse. (a^2 + b^2= c^2) a= height of person, b= shadow. If you have the angle of the sun to the ground, you can use Sine/ Cosine to calculate the length.


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What is the length of the rectangle if the perimeter is 54 cm and it's length is twice it's width?

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