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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
How tall is a flag pole that casts an 18 ft shadow at the same time that a 6 ft man casts a 4 ft shadow?
We can solve this problem using a ratio. Since a 6 foot man casts a 4 foot shadow we can write this ratio as 6:4. If we reduce this ratio we get 3:2. Now we're stating that for every 3 feet of height, the shadow cast will be 2 feet.Now we can work our problem out using a small table:3 feet of flag pole = 2 feet of shadow6 feet of flag pole = 4 feet of shadow9 feet of flag pole = 6 feet of shadow12 feet of flag pole = 8 feet of shadow15 feet of flag pole = 10 feet of shadow18 feet of flag pole = 12 feet of shadowTherefore an 18 foot flag pole will cast a 12 foot shadow at the same time that a 6 foot man casts a 4 foot shadow.
How is a tree that casts a 28-ft shadow at the same time a 4-ft pole casts a shadow which is 9-ft long?
The height of the tree is in direct proportion to the pole and its shadow
A vertical pole 5 feet long casts a shadow of 2 feet if at the same time a nearby tree casts a shadow of 10 feet how tall is the tree?
The tree is 25 feet tall. A 5 foot pole cast a 2 foot shadow. This means that the sun angle causes the shadow to be 2/5 the length of the object casting it. The tree's shadow is 10 feet tall. Multiply 10 feet by 5/2 (inverting the fraction because we're going the other way) and we get 25 feet.
What is the angle of elevation of the sun with the ground when the pole 7.6 meters casts a shadow 6.1 meters long?
Required angle has a tangent of 7.6/6.1 ie 1.249. This is 51.25 degrees.
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
How high is a tree that's casts a ft shadow at the same time a ft pole casts a shadow which is ft long?
To determine the height of the tree based on the shadow length, we can use the concept of similar triangles. If the tree casts a shadow of 1 foot while a 1-foot pole also casts a shadow of 1 foot, then the height of the tree is the same as the height of the pole. Thus, the tree is also 1 foot tall.
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
How high is a tree that cast a 24-foot shadow at the same time a 8-foot pole casts a shadow which is 11-foot long?
17.45 feet.
How long is the shadow if a nearby 10-foot tall basketball hoop casts a 7-foot shadow?
3
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.
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
How tall is a flag pole that casts an 18 ft shadow at the same time that a 6 ft man casts a 4 ft shadow?
We can solve this problem using a ratio. Since a 6 foot man casts a 4 foot shadow we can write this ratio as 6:4. If we reduce this ratio we get 3:2. Now we're stating that for every 3 feet of height, the shadow cast will be 2 feet.Now we can work our problem out using a small table:3 feet of flag pole = 2 feet of shadow6 feet of flag pole = 4 feet of shadow9 feet of flag pole = 6 feet of shadow12 feet of flag pole = 8 feet of shadow15 feet of flag pole = 10 feet of shadow18 feet of flag pole = 12 feet of shadowTherefore an 18 foot flag pole will cast a 12 foot shadow at the same time that a 6 foot man casts a 4 foot shadow.
What is the length of the shadow cast by a 63 foot high pole if a 27 foot high pole casts an 18 foot shadow?
Assuming the two poles are parallel . Then use Similar Triangles. 27/18 is to 63/x Equating 27/18 = 63/x Algebraically rearrange x = (63/27) X 18 Cancel down (reduce) by '9' x = (63/3) X 2 Cancel down (reduce by '3') x = (21/1) X 2 x = 42/1 = 42 ft. (Which is the length of the shadow created by the 63 ft. pole).
How is a tree that casts a 28-ft shadow at the same time a 4-ft pole casts a shadow which is 9-ft long?
The height of the tree is in direct proportion to the pole and its shadow
At 1100 am a one meter high mailbox casts a 0.4 meter shadow If a pole beside the mailbox casts a 16-meter shadow how tall is that pole?
40 meters
How tall is the pole if the pole casts a 24-foot shadow and a 3 and one half foot tall boy casts a 6-foot shadow while standing beside the pole?
Answer is 14 feet
