0
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?
Wiki User
∙ 14y ago
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 them
- the 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_shadow
tan 27.5o = 4.75ft / shadow
shadow = 4.75ft / tan 27.5o ~= 9.1ft
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
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.
How can you find the height of tree?
Using trigonometery if you know the length of its shadow and angle of elevation
Why isn't your shadow not always the same height as you are?
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.
How tall is the person if the shadow is 7ft?
it depends on where the sun is at that time
One piece Does brook get his shadow back?
Yes He Does In Episode 362 , Brook Gets His Shadow Back.
When is the shadow equal in length to your height?
When the angle of elevation equals 45 degrees. tan-1(1) = 45 degrees.
How many distance move a shadow in one hour?
The direction a shadow points turns 15 degrees in one hour. The distance the end of the shadow moves depends on the length of the shadow.
How long is a 5 foot person's shadow in a 40 degrees angle?
If the sun is 40 degrees above the horizon, a 5-ft person casts a shadow 5ft 11.5in long (rounded)
What is the shadow length of person who is 5'4?
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)
How long is the shadow for the 74ft pole?
It depends on the angle of the sun. If the sun is at 90 degrees, immediately overhead, then the length of the shadow is 0. What is the angle 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.
If a nail is 50 millimeters in length what is its shadow length in millimeters?
Its shadow will be 50 millimeters in length, if you lay it down on a flat surface.
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.
How tall is a building with a 73 ft shadow when elevation of the sun is 31 degrees?
(Height of the building)/(length of the shadow) = tangent of 31° .Height = 73 tan(31°) = 43.9 feet (rounded)
How tall is a person that casts a 9 foot shadow?
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.
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.
Does the length of a sun stick control the distance a shadow moves?
yes the length of the sun stick does control the distance the shadow moves
