Question

Meenal was trying to find the height of tower near his house. She is using the properties of similar triangles. Theheight of Meenal's house is 20 m. When Meenal's house casts a shadow of 10 m long on the ground. at the sametime, tower casts a shadow of 50 m long and Arun's house casts a shadow of 20 m long on the ground as shown below.​

Answer 1

Answer:

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Answer 2

Given:

Meenal was trying to find the height of the tower near his house. She is using the properties of similar triangles. The height of Meenal's house is 20 m. When Meenal's house casts a shadow of 10 m long on the ground. at the same time, the tower casts a shadow of 50 m long and Arun's house casts a shadow of 20 m long on the ground as shown below.​

To Find:

Find the height of the tower and Arun's house.

Solution:

The similarity of triangles means if two triangles are similar then the ratio of each respective side will be equal to each other,

In the given case the height of the Meenal's house is 20 m and casts a shadow of 10 m then according to the principle of similarity the ratio,

$Ratio=\frac{height}{shadow} \\=\frac{20}{10} \\=2:1$

So the height will be 2 times the length of the shadow,

so the height of

Tower=2*50

          =100m

Arun's house=2*20

                     =40m

Hence, the height of the tower and Arun's house is 100m and 40m respectively.

Right Question:

Meenal was trying to find the height of the tower near his house. She is using the properties of similar triangles. The height of Meenal's house is 20 m. When Meenal's house casts a shadow of 10 m long on the ground. at the same time, the tower casts a shadow of 50 m long and Arun's house casts a shadow of 20 m long on the ground as shown below. Find the height of the tower and Arun's house.