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Can you use the tangent ratio to find the length of the hypotenuse?
No; the tangent ratio only deals with the lengths of the opposite side and adjacent side. You can square the two sides and add them together, then find the square root of the sum to find the length of the hypotenuse.
How do you find the measure of an acute angle if you only have the short leg and the long leg of a right triangle in trigometry?
Using trigonometry: tangent = opposite/adjacent
How do you find the tangent of a circle?
a tangent is a line that touches the circle at only ONE point
How do you find the measure of a tangent?
Given only the measure of an angle, use a scientific calculator or a book of mathematical tables (if you can find one!). There are infinite series but they are not particularly easy to work with.
What do you do in trigonometry when you are only given the opposite and adjacent sides?
That depends what you're asked for. If you're asked for the tangent of the angle, divide (opposite)/(adjacent) . If you're asked for the hypotenuse of the triangle, it's sqrt( opposite2 + adjacent2 ) . If you're asked for the cosine of the angle, it's (adjacent)/(hypotenuse) . If you're asked for the other acute angle, it's the angle whose tangent is (adjacent)/(opposite) . If you're not asked for anything, then get your jacket, chew some gum, and go home.
