maths help pls

y=sqrt(x) makes an angle of a with the line y=0
find a

Why don't you try plotting the graph and seeing what arises.

Hint:

y=sqrt(x) makes an angle of a with the line y=0
find a

Why don't you try plotting the graph and seeing what arises.

Hint:

Whenever there's a thread to do with maths, I could almost guess you'd be the first one to post on it lool

Have you written the question properly, because, upon reflection we have that $y' = \frac{1}{2\sqrt{x}}$ which is surely undefined at $(0,0)$ - unless, of course the angle is the trivial $a = \frac{\pi}{2} = 90^{\circ}$ because the tangent is essentially the y-axis?

Whenever there's a thread to do with maths, I could almost guess you'd be the first one to post on it lool

yes thats all thats given
and its a non-calc question if that helps

I actually do think the angle is $90^{\circ}$ using my calculus method.

The only other method I can think of is using the tangent formula for angles between lines but $\sqrt{x}$ certainly isn't a line... what chapter/topic is this question from?

Edit: I'm sorry to have given you the full solution, but I only did so because I was uncertain about the question itself, many apologies.

i mean non calculator
its a core 1 extension question
no worries haha

Since you want the angle with the y-axis, turn your graph on its side and express x as a function of y. Answer becomes obvious.

Note: You want the angle with the y-axis, and it's not 90.

I'm probably being thick but isn't $y=0$ the $x$-axis?