Recent content by rssvn

i need the square root for sin(x)2=4/9, i may have overestimated the question at first

First off sorry if something doesn't make sense, english is not my native language. I know i should start with sin2 α + cos2 = 1, but ant really continue from it. i am being confused by cos α = √5/3 since i know it isn't found in normal trig tables. So my problem is how to find out values of...

Good tips, i will definitely remember them. Thank you for all the help, I've learned a lot :)

Would this be better?

Oh seems that i forgot to insert the right values, it was meant to be: θ₁=sin-1((1.62sin(37◦))/1.4) and the answer for β would be 44º (i think significant figures mean the answers accuracy? so to say) Would the diagram in the attached photo be sufficient?

I'm trying to solve the β angle, n₁=1.4, n₂=1.62, θ₂=37◦, θ₁=? n₁sinθ₁ = n₂sinθ₂ sinθ₁=(n₂sinθ₂)/n₁ θ₁=sin-1((n₂sinθ₂)/n₁) θ₁=sin-1((1.4sin(37◦))/1.62) θ₁=44.14◦

Is the answer then (1.62sin(37))/1.4 -> arcsin(ans)

Ooh, so because the flintglass is submerged, the laser must have been traveling in the oil already before it hit the flintglass, and since the b angle is angle it hits the flintglass it must come out in the same angle too?

I don't quite understand why i need the b angle to answer the question

oops, my bad, edited it to include the question :D

Hello, hopefully the question made sense, it was hard to translate. i attached a photo about the question. I started with n1=1.4, sinΘ1=37◦ and n2=1.62 1.4(sin(37◦))=1.62sinΘ2 1.4(sin(37◦))/1.62=sinΘ2 arcsin(0.52)=31.34◦ Is it calculated correctly?

Sorry for taking so long to answer, i understand now, (25m/s)t=37.5m+(18m/s)t -> 25t-18t=37.5m -> 7t=37.5m -> 5.36. Thank you @PeroK and @haruspex for bearing with me, i do appreciate it :)

I'm sorry if I am not understanding, but how can i figure out the t if not by trial and error

What equation should i use if i don't use the trial and error, isn't the equation you gave Xcar = Xtruck basically using trial and error?

Ah, youre right, maybe I'm trying to rush the answer and make silly mistakes like that on the way, t = 5.35s seems to be pretty close, i tried it by trial and error. 5.35s and 133.75m