Question

A tree 15 m high, casts a shadow of 9 m. Findthe height of a tree that will cast a shadow of15 m under similar conditions.​

Answer 1

To find the height of a tree that will cast a shadow of 15 m under similar conditions, we can use the concept of similar triangles. The height of the second tree will be 25 m.

Step-by-step explanation:

To find the height of a tree that will cast a shadow of 15 m under similar conditions, we can use the concept of similar triangles. The ratio of the height of the first tree to the length of its shadow is equal to the ratio of the height of the second tree to the length of its shadow. So we have:

Height of first tree / Length of first tree's shadow = Height of second tree / Length of second tree's shadow

Plugging in the values from the question, we get:

15 / 9 = height of second tree / 15

Solving for the height of the second tree gives us:

Height of second tree = (15 x height of first tree) / 9

Substituting the values in:

Height of second tree = (15 x 15) / 9 = 25

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