9514 1404 393
Answer:
x ≈ 24.91
Explanation:
It is helpful to remember the mnemonic SOH CAH TOA. It is intended to remind you that ...
Sin = Opposite/Hypotenuse
You observe that the values are given in the figure for an acute angle in a right triangle, the hypotenuse, and the side opposite the angle. That is why you are interested in the sine relation.
sin(49°) = x/33
x = 33·sin(49°) ≈ 24.905
The length of side x is about 24.91 units.
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You solve any geometry problem by making use of the relationships you know between the parts given in the problem statement.