# Tutor profile: Poonam P.

## Questions

### Subject: Sanskrit

How to identify the person in a sentence(First, Second, Third)?

Let us consider these 3 sentences: 1. Saa gachhaTI. ( She goes) 2. Tvam gacchaSI. (You go) 3. Aham gachhAMI. (I go) If you notice the capitalised letters, you will know the difference. though these apply for a single person only.

### Subject: Trigonometry

If in a triangle ABC right-angled at B, tan A= 3/4 and BC is 9 cm. Find length of AC.

tan A= BC/AB as the triangle is right angled at B. So, we get, AB= BC/ tan A= 12, By Pythagoras theorem, AC= sq.root of (square of 9+ square of 12)= 15 cm Alternatively, it's just a mind game. If you know that a right triangle has sides 3 and 4, the hypotenuse will be 5. Here BC=9(3*3), AB will be proportionately 12(4*3). So AC will be 15(5*3).

### Subject: Basic Math

What is 34% of 120?

Taking out a pen and paper? Not needed, actually. This can be solved in a minute, that too mentally. Let's have a look at the approach:- Think in terms of 10%, for example, 10% of 120= 120/10=12 Think how many 10's you can count, in this case up to 3(as it is 34%), so that gives 30% of 120= 12*3=36 Keep this number aside. Now, let's work on the unit digit, it's 4. Think in terms of 1%, 1% of 120=1.2 So, 4% of 120= 1.2*4=4.8 So, 34% of 120= 30%+4%= 36+4.8= 40.8 It looks like I have done a lot, but, in fact, after practising couple of questions, you will know how easy this method is. This is just a simple example. You can solve more difficult problems with similar approach quickly. Happy learning!

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