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One leg of a right triangle is twice the length of the other leg What is the cosine of the angle between the longer leg and the hypotenuse?
Wiki User
∙ 14y ago
Shorter leg = 1
Longer leg = 2
Hypotenuse = sqrt(5)
Cosine of angle between the longer leg and the hypotenuse = 2 / sqrt(5) = 0.89443 (rounded)
The angle is 26.565 degrees (rounded)
Wiki User
∙ 14y ago
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A ladder leans against a wall making an angle of 73 degress with the ground The ladder's base is 1.17m away from the wall Determine the length of the ladder?
Providing that the ground is level and that the wall is straight, you have the outline of a right angled triangle with an adjacent angle of 73 degrees and an adjacent length of 1.17 metres. In order to find the length of the hypotenuse (which is the ladder itself) we use the cosine ratio: cosine = adjacent/hypotenuse Which when rearranged is: hypotenuse = adjacent/cosine hypotenuse = 1.17/cosine73 degrees = 4.001755235 So the length of the ladder is 4 metres correct to one significant figure.
What is the length of the hypotenuse of a right triangle with legs of lengths 5 and 12?
The length of the hypotenuse of a right triangle with legs of lengths 5 and 12 units is: 13The length of a hypotenuse of a right triangle with legs with lengths of 5 and 12 is: 13
What is the length of a hypotenuse with the right triangle sides 15 and 36?
The length of a hypotenuse with the right triangle sides of 15 and 36 is: 39
Find hypotenuse only using opposite and angle?
In a right angles triangle the sides are named the hypotenuse (the side opposite the right angle) and the other two sides are called the adjacent and the opposite sides. 1) The sine of an angle = length of the opposite side ÷ length of the hypotenuse. 2) The cosine of an angle = length of the adjacent side ÷ length of the hypotenuse. Using 1) The length of the hypotenuse = length of the opposite side ÷ the sine of the angle. Using tables or a calculator obtain the sine of the angle and divide this into the length of the opposite side. The result will be the length of the hypotenuse.
What is the perimeter of a triangle that is attached to a hypotenuse?
That depends entirely on the LENGTH of the hypotenuse !
How do you calculate the length of the opposite and adjacent sides in a right angle triangle if you know the length of the hypotenuse and the angle between the adjacent and hypotenuse?
the sides can be found out by using trignometry.. sines and cosines.. sine of an agle is perpendicular/hypotenuse cosine of an angle is base/hypotenuse..
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 ratio of the opposite leg length to the hypotenuse length?
its the cosine.. thanks to the dude up there i got it wrong and that was my answer for 4.1.3.
What is a cosion?
As far as I know, there is no such word as "cosion." Are you asking about the mathematical term "cosine"? If so, it comes from trigonometry. In a right triangle, the cosine is the ratio of the length of the adjacent side to the length of the hypotenuse. The abbreviation for cosine is "cos."
What is the cosine function about?
The cosine function is mathematical equation to determine the adjacent angle of a triangle. The cosine of an angle is the ratio of the length of the hypotenuse: so called because it is the sine of the co-angle.
If you divide length of the adjacent side of an angle in a right triangle by the length of the hypotenuse what value do you get?
Adjacent Side / Hypotenuse = Natural Cosine of the Angle. For example: Adjacent Side=20cm / Hypotenuse=40cm = 0.5 Look up 0.5 in a Natural Cosine table and look back to the degrees on the left margin, you'll find 60... 60 degrees is the angle between the hypotenuse and the adjacent side.
What is length of the equal sides of an isosceles triangle where the two equal angles are 20 degrees and the third side is 12?
Treat it as being two right angled triangles by halving the base and use the cosine ratio to find its hypotenuse (which will be one of the equal sides) cosine = adjacent/hypotenuse hypotenuse = adjacent/cosine hypotenuse = 6/cosine 20 degrees = 6.385066635 The length of the equal sides = 6.4 units correct to one decimal place.
What is a cosine?
In trigonometry, when we look at right triangles, the cosine is the ratio of the length of the adjacent side to the length of the hypotenuse.
How do you find the hypotenuse of a right triangle when only a side length and angle is given?
Dependent on what side you are given you would use Sin(Θ) = Opposite/Hypotenuse just rearrange the formula to Hypotenuse = Opposite/Sin(Θ). Or if you are given the adjacent side use Cosine(Θ)=Adjacent/Hypotenuse, then: Hypotenuse = Adjacent/Cosine(Θ)
Where can you find the hypotenuse of a right triangle?
the hypotenuse is the side of the right triangle that is opposite of the 90 degree angle. To figure out the length of the hypotenuse you can use a2 + b2 = c2 (if you know the length of the other two sides) If you don't that you can probably use the sine or the cosine equation. (as long as you know at least one of the angles)
I have a right angled triangle which i know all the angles of. I have the length of one side which is adjacent to the right angle. How can I work out the length of the hypotenuse and the other side?
Use tangent to find the other leg, and the sine or cosine to find the hypotenuse.
What is the length of the median to the hypotenuse of a right triangle if the hypotenuse is 12 inches in length?
The median to the hypotenuse of a right triangle that is 12 inches in length is 6 inches.
