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If you're only given the base, then you can't calculate the other leg. If you have any one of the following, then you can calculate all of the parts of the triangle: -- length of the other leg -- length of the hypotenuse -- size of either acute angle
If you also know the measure of one of the acute angles, you can calculate all of the missing pieces. But if you only know the length of the one leg and nothing else, then you don't have enough information to calculate anything else.
We can't calculate that until we know the length of either of the other sides. All we know now is that the longer leg is -- sqrt(3) times the shorter leg, and -- sqrt(3)/2 times the hypotenuse
The sine function is used in trigonometric calculations when attempting to find missing side lengths of a right triangle. The sine of an angle in a triangle is equal to the length of the side opposite of that angle divided by the length of the hypotenuse of the triangle. Using this fact you can calculate the length of the hypotenuse if you know an angle measure and the length of one leg of the triangle. You can also calculate the length of a leg of the triangle if you know an angle measure and the length of the hypotenuse.
The other leg length is 16.