an electric pole is 24 meter high casts a shadow of 20 meter long.find the height of the tree if it castes a shadow of 15 meter long under similar conditions
To find the height of the tree, we can use the concept of similar triangles. The ratio of the height of the electric pole to the length of its shadow is equal to the ratio of the height of the tree to the length of its shadow. This is because the triangles formed by the pole and its shadow are similar to the triangles formed by the tree and its shadow.
Let's denote the height of the tree as x. Using the given information, we have the following proportion:
(height of pole)/(length of pole's shadow) = (height of tree)/(length of tree's shadow)
Substituting the values we know:
24/20 = x/15
To find x, we can cross-multiply and solve for x.
24*15 = 20x
360 = 20x
x = 360/20
x = 18
Therefore, the height of the tree is 18 meters.
24/20 = x/15
Cross multiply and solve for x.