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How do you determine sine in a right triangle?
The sine of an angle in a right triangle is opposite/hypotenuse, where opposite is the only side that is not adjacent to the angle you want to find the sine of, and the hypotenuse is the side opposite the right angle in the triangle. Just find opposite/hypotenuse.
Are the hypotenuse of a right triangle adjacent to the right angle?
First: there can only be one hypotenuse in a right angled triangle and it is always OPPOSITE the right angle, NEVER adjacent.
How do you find the width and length of a rectangle knowing ONLY the diagonal and its angle?
By using the trigonometric ratios of Sine and Cosine. The diagonal forms the hypotenuse of a right angled triangle with the length and width of the rectangle forming the other two sides of the triangle - the adjacent and opposite sides to the angle. Then: sine = opposite/hypotenuse → opposite = hypotenuse x sine(angle) cosine = adjacent/hypotenuse → adjacent = hypotenuse x cosine(angle)
What is the opposite of a acute angle?
No such thing as opposite of acute angle. An ACUTE angle is an angle of less than 90 degrees. A RIGHT angle is an angle of 90 degrees only. An OBTUSE angle is an angle between 90 degrees and 180 dehrees. An angle of 180 degrees is a straight line. A REFLEX angle is an angle between 180 degrees and 360 degrees.
Can you find the hypotenuse of a right triangle when only one side length is known and all three angles?
Yes. You will need to use trigonometry. sin (angle) = opposite/hypotenuse cos (angle) = adjacent/hypotenuse tan (angle) = opposite/adjacent
