Question

A boy standing at a point o finds his kites flying at a point p with distance op=25m .It is at a height of 5m from the ground.When the thread is extended by 10m from p, it reaches a point q.What will be the height qn of the kite from the ground ? ​

Answer 1

Answer:

To understand the question see the figure attached.

Now, we will find the answer.

Solution:

In the figure,

∆OPM, ∆ OQN are similar triangles. In similar triangles the sides are in the same proportional.

Therefore,

$\frac{qn}{pm} = \frac{qo}{po}$

$\frac{h}{5} = \frac{35}{25}$

$h = \frac{5 \times 35}{25}$

$h = \frac{35}{5}$

$h = 7m.$

Hence, height is 7meters