It works out as 12 feet and 4 inches in height
To cast a 19 foot shadow the building would have to be 26.91 feet tall. Each foot of building/tree casts 8.47 inches of shadow.
The man is twice as high as his shadow. Therefore, the tree must also be twice as high as its shadow, which would make the tree 40 feet tall.
Ratio shadow:real height for gate = 12ft:5ft = 2.4 So ratio for chimney = 28:real height = 2.4 Height of chimney = 28/2.4 = 11.66... ft
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.
AnswerThe volume of a box one foot long, one foot high, and one foot wide is 1 foot3 or 7.480519 liquid gallons.
15 feet high
If a 27 ft tall pole casts an 18 foot shadow, a 63 ft tall pole casts an x foot shadow.Put 27/18 and 63/x.Cross multiply, get 27x=1134Divide by 27 on both sides, a 63 foot tall pole casts a 42 foot long shadow.
27.3 feet
To cast a 19 foot shadow the building would have to be 26.91 feet tall. Each foot of building/tree casts 8.47 inches of shadow.
17.45 feet.
10.'384615' (recurring decimals) feet
5.5/8 = x/20 x=5.5*20/8 = 13.75 feet
The man is twice as high as his shadow. Therefore, the tree must also be twice as high as its shadow, which would make the tree 40 feet tall.
1. How high is a flagpole that casts a shadow of 45 ft at the same time a woman 5.5 ft tall casts a shadow 10 ft?
40 ft
50 feet
The shadow:object ratio is 1:1 so the tree is 63 feet high.