SOLUTION: Hi there, I have had a question in trigonometry. It was a right angled triangle with a degree of 3 and the opposite side was 70cm. I have to find the distance of that and I trie

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Question 747456: Hi there,
I have had a question in trigonometry. It was a right angled triangle with a degree of 3 and the opposite side was 70cm. I have to find the distance of that and I tried using SINE as it was opposite over hypotenuse. (I had to find it closet to meters)
Sin 3 (degree)= 70 over y
70 over 1 x 70 over y = Sin 3 x 70 over 1
y = Sin 3 x 70
meaning y = 3.66
I don't think that is right. Can someone verify this please?
Thanks,
~Michael
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Triangle with an angle of 3 degrees means you have also an angle of 87 degrees. If the 3 degree angle is opposite of the 70 cm. side, then you have the one other leg and the hypotenuse which you can find values using law of sines.

Opposte of 90 degress_____________hypotenuse = h
Opposite of 3 degress_____________short leg = 70 cm.
Oppossite of 87 degrees___________long leg = y

y%2Fsin%2887%29=70%2Fsin%283%29
highlight%28y=70%2Asin%2887%29%2Fsin%283%29%29

h%2Fsin%2890%29=70%2Fsin%283%29
highlight%28h=70%2Asin%2890%29%2Fsin%283%29%29