Question

An electric pole, 14 metres high, casts a shadow of 10 metres. Find
the height of a tree that casts a shadow of 15 metres under similar
conditions.​

Answer 1

$\large\underline{\bf{Answer}}$

$\large\underline{\bf{21m}}$

Step by step explanation:-

According to question

• An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts a shadow of 15 metres under similar conditions.

We knew that higher the height will give us higher the shadow.

So,

Looking into the question we can see that the height and the shadow casted are in direct

proportion.

The equation thus formed is=>

$\large\red{\bf{ \frac{ x_{1} }{ x_{2} } = \frac{ y_{1}}{ y_{2}} }}$

Now on putting the values we get=>

$\large\red{\bf{ \frac{14m}{x} = \frac{10m}{15m} }}$

Now we will cross multiply the terms.

$\large\red{\bf{15\times 14 = 10x}}$

Now bringing 10 to divide using cross multiplication.

$\large\red{\bf{ \frac{15 \times 14}{10} = x}}$

On simplifying we get=>

$\large\red{\bf{x = 21m}}$

Hence the height of the tree is 21 meters.