Answer:
x = 7
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(30°) = x/14
x = 14·sin(30°) = 14·0.5 . . . . . multiply by 14 and evaluate
x = 7
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<em>Additional comment</em>
The triangle shown is a 30°-60°-90° triangle. The ratios of sides, shortest-to-longest, are ...
1 : √3 : 2
As we have seen here, the shortest side is 1/2 the length of the longest side, so x = 14/2 = 7.
This triangle and these ratios show up often, so it can be worthwhile to remember these ratios.
