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What is the height of a flagpole if a person 5 feet tall casts a 10 foot shadow at the same time that the flagpole casts a 40 foot shadow?
The flag pole would be 20 feet. (You can see that the shadows are twice as long.) At a given time of the day, the length of a shadow cast by any object will have the same relationship to its actual height as all other objects. Here the ratio is 5/10 = x/40 and multiplying both sides by 40, 20 = x.
A 3 foot pole casts a 6 foot shadow A 4 foot pole casts an 8 foot shadow Use a linear equation to predict the length of a shadow cast by a 6 foot pole?
Shadow lengths are proportional to the heights of objects casting the shadows. Therefore, calling the shadow length l, the height h, and the proportionality constant k, l = kh. (The intercept is 0 because an object with no height casts no shadow.) Therefore, in this instance k = l/h = 6/3 or 8/4 = 2. then l(6) = 2 X 6 = 12 feet.
The shadow cast by a house is 55 feet long.At the same time a flagpole that is 15 feet tall casts a 25 foot long shadow.How tall is the house?
25
If a 30 foot flagpole casts a 12 foot shadow how tall is a mailbox casting a 18 inch shadow?
To solve this problem, we can set up a proportion using the similar triangles formed by the flagpole and its shadow, and the mailbox and its shadow. The height of the flagpole to its shadow is 30 feet to 12 feet, which simplifies to 5:2. Using this ratio, we can determine the height of the mailbox by setting up the proportion 5/2 = x/1.5 (converting 18 inches to feet). Solving for x, the height of the mailbox would be 3.75 feet.
How high is a tree that casts a 21 foot shadow at the same time a 6.5 foot man cast a 5 foot shadow?
27.3 feet
What is the height in feet of a flagpole which casts a 6-foot shadow when a 6-foot man cast a 3-foot shadow?
Using trigonometry its height is 12 feet
If a 30 foot flagpole casts a12 foot shadow how tall is a mailbox casting a 18 inch shadow?
It works out as 3.75 feet
What is the height of a flagpole if a person 5 feet tall casts a 10 foot shadow at the same time that the flagpole casts a 40 foot shadow?
The flag pole would be 20 feet. (You can see that the shadows are twice as long.) At a given time of the day, the length of a shadow cast by any object will have the same relationship to its actual height as all other objects. Here the ratio is 5/10 = x/40 and multiplying both sides by 40, 20 = x.
A tree is 18 feet tall and casts a shadow 6 feet long A nearby sign casts a 3 foot shadow What is the height of the sign?
A 1 foot shadow I think.
What is the height of a telephone pole that casts a shadow of 15 feet if a 6 foot tall man casts a shadow of 3.5 feet?
2
What is the angle of elevation to the nearest degree of the sun if a 54 foot flagpole casts a shadow 74 feet long?
36 degrees
A 60-foot -tall flagpole casts a 42-foot long shadowat the same time of daywhat would be the length of a shadow cast by an 18-foot-tall building?
The lenght of the shadow will be 12.6 ft
How high is a tree that casts a 37 ft shadow at the same time a 4foot pole casts a 12 foot shadow?
It works out as 12 feet and 4 inches in height
A 3 foot pole casts a 6 foot shadow A 4 foot pole casts an 8 foot shadow Use a linear equation to predict the length of a shadow cast by a 6 foot pole?
Shadow lengths are proportional to the heights of objects casting the shadows. Therefore, calling the shadow length l, the height h, and the proportionality constant k, l = kh. (The intercept is 0 because an object with no height casts no shadow.) Therefore, in this instance k = l/h = 6/3 or 8/4 = 2. then l(6) = 2 X 6 = 12 feet.
The shadow cast by a house is 55 feet long.At the same time a flagpole that is 15 feet tall casts a 25 foot long shadow.How tall is the house?
25
How tall is a tree that casts a 25 foot shadow at the same time a 9 foot light pole casts a 15 foot shadow?
15 feet high
A lighthouse casts a 72-yard shadow at the same time as a 32-foot tall billboard casts a 19-foot shadow?
121.3yd
