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# Any mathematicians here?

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Need help working out the following question please. See post below. Rep given Read More
7y, 1m agoPosted 7 years, 1 month ago
Need help working out the following question please.

See post below.
Rep given
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7y, 1m agoPosted 7 years, 1 month ago
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(18)
#1
1 Like #2
#3
shirishtiwari01

That's short for Opposite side.
1 Like #4
I got 34.7m. Not 100% sure though.
#5
I get 34m but hey Im only a rocket scientist! :whistling:
1 Like #6
i believe You need to work out the middle line length using cosine rule on bottom triangle then use the sine rule to calculate the lenght you want.
Could be easier way but not sure.
#7
all i get is a headache looking at it, so my answer is painkillers lol
#8
Spammed
I got 34.7m. Not 100% sure though.

scottydont
I get 34m but hey Im only a rocket scientist! :whistling:

Did you guys use cosine and sine rule?
1 Like #9
Use cosine rule for lower triangle:

QS= root (27 squared +50 squared - (2*27*50*cos82)

This gives QS= 53.4m

Now use sine rule for upper triangle:

PS= (53.4*sin38)/sin118

This gives PS=37.2m

Hope this helps.

:)
#10
ErrorOperator
i believe You need to work out the middle line length using cosine rule on bottom triangle then use the sine rule to calculate the lenght you want.
Could be easier way but not sure.

I was trying to use sohcahtoa :thinking: ..will try again
#11
Is that gcse?
1 Like #12
SQ = sqrt(SR^2 + QR^2 - 2* SR * QR * cos(82)) = sqrt ( 50^2 + 27^2 -2 *50*27*cos(82)) ~= 53.416m using Cosine rule

Then use the sine rule
Sin(38)/PS = Sin(118)/53.416
=> PS = 53.416 * Sin(38) / Sin(118) = 37.246m

Edit: Doh, too slow :(
#13
Yes sorry It's 37. I accidentally used sin 110 instead on 118. I don't think you can use soh cah toa for this as there's no right angle in either triangle.
#14
I was trying to use sohcahtoa ..will try again

thats for right angle triangles
1 Like #15
if you to do the question yourself, the equation they are using is :
b^2=a^2+c^2-2acCosB
#16
you can count me out ;-) :whistling:
#17
Met-Cast
Is that gcse?

Yes. How did you guess?
#18
Very well explained guys repped you! And thanks :)