Question

Bhoomika visited to her elder sister's house, From a point P, where Bhoomika was standing, society's gate and building come in a straight line as shown in the figure. PA50 m--- gale

Based on the above information, answer the following questions.


26. Which similarity criteria can be seen in this case, iſ gate and building are considered in a straight line?
(a) AA (b) SAS (c)SSS (d)ASA


27. If the distance between Bhoomika and the gate is twice as much as the height of the gate, then the height of the gate is
(a)40 m (b) 12.5 m (c) 15 m (d) 25 m​

Answer 1

Answer:

Option C for question number 26

Option B for Question number 27

Answer 2

Given: Bhoomika visited to her elder sister's house, From a point P, where Bhoomika was standing, society's gate and building come in a straight line as shown in the figure.

To find:

26. Which similarity criteria can be seen in this case, iſ gate and building are considered in a straight line.  

27. If the distance between Bhoomika and the gate is twice as much as the height of the gate, then the height of the gate.

Solution:

26.

The two triangles seen in the figure have a common angle which is acute at point P. They also have right angles made at their perpendiculars. This means that the two triangles are similar by AA (Angle-Angle) postulate.

27.

Let the distance between Bhoomika and the gate be d and let the height o the gate be h. Now, according to the question, the following equation can be written.

$d = 2h$

$50 = 2h$

$h = 25 m$

Therefore,

26. If gate and building are considered in a straight line, the similarity criteria AA can be seen in this case.

27. The height of the gate is 25 m.

Although a figure of your question is missing, you might be referring to the one attached.