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56.25 feet

Q: How high is a tree that cast a 25 ft shadow at the same time a 9 ft post cast a shadow which is 4 ft long?

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It works out as 30 feet in height

40 ft

50 feet

Let x= height of the tree By ratio and proportion: 6ft/4.5ft = x/15ft 4.5ft x = 6ft (15ft) x= 20ft.

The ratio of the shadow cast to the height of an object will be the same at the same time of day. For the fence post, the height of the post is 2.5 times the length of the shadow ( 5 ft / 2 ft = 2.5 ) The tree has a 10 foot shadow, so using the same ratio for the fence post: 10 ft * 2.5 = 25 feet. The tree is 25 feet tall

Related questions

It works out as: (28*5)/12 = 11 and 2/3 meters

It works out as 30 feet in height

40 ft

50 feet

As the sun is far enough away, the rays of light are effectively parallel. This produces similar triangles with the ratio of sides the same in each case. As the shadow of the post is 12 ft and the shadow of the tree is 24 ft, the sides of the triangle of the tree are double that of the post. Assuming the post is parallel to the tree, the tree's height is twice the height of the post → tree = 12 ft × 2 = 24ft high.

Let x= height of the tree By ratio and proportion: 6ft/4.5ft = x/15ft 4.5ft x = 6ft (15ft) x= 20ft.

The amount of sunshine, where the sun is, and if there is any sun at all. The angle of the light hitting the tree if the sun is high in the sky the Shadow is short for example if the sun is directly over a post then the post will cast no shadow. as the sun moves into a position that causes its light to shine on the side of the post a shadow will appear on the opposite side of the post where it blocks the sun. as the sun seems to assume a relatively lower position compared to the horizon it will make the shadow longer and longer.

The shadow of a solid object is cast by the Sun on the ground. As the Sun appears to cross the sky between dawn and dusk, so the length of the shadow also changes, both in direction and in length on the ground.Put a wooden post a metre high in open ground on a sunny day. Use a watch, and every hour place a small rock where the end of the post's shadow is on the ground. Eventually, you will see by the position of the rocks, just how the shadow of the post changes during the day.

A shadow is cast when sunlight is blocked by a solid object - a person, a post, etc.

The ratio of the shadow cast to the height of an object will be the same at the same time of day. For the fence post, the height of the post is 2.5 times the length of the shadow ( 5 ft / 2 ft = 2.5 ) The tree has a 10 foot shadow, so using the same ratio for the fence post: 10 ft * 2.5 = 25 feet. The tree is 25 feet tall

The length of the shadow is proportional to the height of the post. Thus, if l is the length of the unknown shadow, l/17 = 1.2/5 or l = 4.1 feet. This should be rounded to 4 if the value 5 is not considered to be known to at least two significant digits.

The lower the sun in the sky, the longer the shadow. A shadow is always cast in the opposite direction of incident sunlight. When the sun is directly overhead (at noon) the shadow is shortest.