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How do I find the length of the hypotenuse with one leg equalling 12 and the opposite angle being 30 degrees?

Rearrange the sine ratio of sine = opposite/hypotenuse: hypotenuse = opposite/sine hypotenuse = 12/sine 30 degrees = 24 Therefore the hypotenuse is 24 units in length.


A right triangle has the hypotenuse 12cm and an angle 30 degrees what is the opposite angle?

A right triangle with a hypotenuse of 12cm and an angle 30 degrees has an opposite angle of: 60 degrees.


What angle is opposite to the hypotenuse?

the 90 degrees angle


The hypotenuse of a right triangle is a side opposite the?

The hypotenuse of a right (angled) triangle is the side opposite the right (90 degree) angle. The hypotenuse is also the longest side.The hypotenuse of a right triangle is the side opposite theThe sine of an angle is the side opposite over the hypotenuse of the triangle.


A right angle triangle has an angle of 16.5 degrees. and a rise of 40 feet then how many feet is the hypotenuse?

sin(angle) = opposite/hypotenuse → hypotenuse = opposite/sin(angle) opposite = rise → hypotenuse = 40ft / sin 16.5° ≈ 140.84 ft


Why is the hypotenuse the longest side?

In a right angle triangle the hypotenuse is the largest side because it is opposite to the largest angle which is 90 degrees.


Which angle has hypotenuse?

For a right angle triangle its hypotenuse is opposite its angle of 90 degrees and its other two angles are acute and its 3 angles add up to 180 degrees.


Why is the sine of 90 degrees equal to 1?

Sine = Opposite divided by Hypotenuse Opposite is the side of the triangle opposite the angle (in this case the 90o angle). Hypotenuse is the side opposite the right angle in a right angle triangle. Therefore, Sine 90 = 1 because the opposite side and the hypotenuse are the same side, they are both opposite the right angle.


How do you find perpendicular of right angle triangle?

It is the angle opposite the hypotenuse which measures 90 degrees


What is the sine if the opposite is 12 and the hypotenuse is 37?

sin of an angle is = the opposite side divided by the hypotenuse the opposite side divide by the hypotenuse = 12 / 37 = 0.324324 to find the angle take the inverse sine of 12 / 37 sin-1(0.324324) = 0.330297 radians, which is equivalent to 18.9246 degrees


In a right triangle the hypotenuse is always shortest of the three sides?

False because the hypotenuse is always the longest side which is opposite the biggest angle of 90 degrees


If the side opposite angle A of a right triangle is 30 meters and the hypotenuse is 90 meters what is the sin of angle a?

sin of angle a = opposite/hypotenuse = 1/3 sin-1(1/3) = 19.47122063 degrees