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Hello there.

I'm here with my son and I'd love you to tutor him on this math problem but don't give him the answer.

You can ask questions and nudge him in the right direction but I really want to make sure he understands it himself and he's here in the room so you can talk to him directly.

Of course I'd be happy to help.

Let's look at the problem together.

Can you first identify which sides of the triangle are the opposite adjacent and hypotenuse relative to angle alpha?

All right so I'm pretty sure this is the angle alpha right here, right?

Correct.

Now looking at the triangle which side do you think is the hypotenuse?

Remember the hypotenuse?

I'm not totally sure.

I think it might be this one but I really am not sure.

This side AC?

You're close.

Actually side AC is called the adjacent side to the angle alpha.

The hypotenuse is the longest side of a right triangle and is directly opposite the right angle.

Can you find which one is the hypotenuse?

Oh okay I see.

So I think the hypotenuse is this really long side from A to B.

Would that be correct?

Exactly.

Well done.

Now that you've identified the hypotenuse can you identify which side is the opposite side to angle alpha?

Okay well I mean you told me earlier that this was the adjacent side and I know that's the hypotenuse so I'm guessing that this side BC is the opposite side.

Great deduction.

That's absolutely correct.

Now that you've identified all the sides relative to angle alpha do you remember the formula for finding the sine of an angle in a right triangle?

Yeah I know that the sine is equal to the opposite over the hypotenuse.

Perfect that's absolutely right.

Now can you apply that formula to find sine alpha in the triangle using the lengths of the sides that we've identified?

Okay so I mean you told me that 7 this side BC is the opposite side and then you said that the hypotenuse is longest side so that would be this side AB which is 25.

So would the answer be 7 over 25?

Excellent work.

That's correct.

Sine alpha equals 7 over 25.

You did a great job identifying the sides and using the sine formula.

If you have any more questions feel free to ask.