Use the cosine rule for this.
a2 = b2 + c2 -2bc*cos(A)
In your case 'a' is x, A is 62°, b is 2.0 and c is 2.5
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but i cant use the cosine rule, i think i have to divide into two different 90 degree triangles
and then find the sides in the one with 62 degree inn and use sinus
sin62(1.8/2)= 0.79.....
2.5-0.79.... almost equal 1.7
then 1.7^2+1.8^2=6.148
sqrt(6.148)=2.479
but since i dont know if it was exactly 1.8 on the height then i might be at 2.4 cm
hmm
x=2.4
Why can't you use the cosine rule? This question and diagram are a perfect set-up to use this rule......
Where did you get the 1.8 from.....just a 'guestimate' ? And if you use this value for the height, then
1.8/2 would equal sin 62 .....but you MULTIPLIED the sin by sin 62......what does that do?
I think your book just got a bit ahead of itself in giving you this question before discussing the cosine rule.....
cos rule give answer as 2.357 units