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
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.
15 feet high
2
17.45 feet.
25 feet tall
40 meters
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.
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.
15 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
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.
The height of the tree is in direct proportion to the pole and its shadow
2
17.45 feet.
208 ft pole
Let x = the height of the building. So we have, x/2.6 = 42.25/1.51 x = (2.6)(42.25)/1.51 x =72.75 Thus, the building is 72.75 meter tall.