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Answer:
x = 10
Explanation:
The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(30°) = 5/x
Solving for x, we get ...
x = 5/sin(30) = 5/0.5
x = 10
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It can be helpful to remember that the side ratios in a 30°-60°-90° triangle are ...
1 : √3 : 2
That is, the hypotenuse is 2 times the length of the side opposite the 30° angle. Here, that means x = 2×5 = 10, as we found above.