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.
It works out as 12 feet and 4 inches in height
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.
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.
-1153.7
It depends on construction; it is around 12 feet per story, typically, so a 14 story building would be 14 x 12 = 168 feet high
5.5/8 = x/20 x=5.5*20/8 = 13.75 feet
50 feet
15 feet high
It works out as 12 feet and 4 inches in height
The shadow:object ratio is 1:1 so the tree is 63 feet high.
(12 / 5) × 33 = 79.2 feet high Divide the pole shadow by the pole height: (12 / 5) = 2.4 feet Times the 2.4 by the tree shadow of 33 feet: 2.4 x 33 = 79.2
We can not tell because we do not know how straight the tree is or if the ground is perpendicular or level.
27.3 feet
17.45 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.
The man is 5.96 feet tall and the lamp is 17.88 feet high.
Ratio of shadows = 3m:7.5m :: 1:2.5 So, the ratio of the heights (in the same order) is 1:2.5 ie Ht(Pole):Ht(Building) = 40m:Ht(Building) = 1:2.5 So Ht(Building) = 2.5*40m = 100 metres