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How do you calculate the ideal mechanical advantage of an inclined plane?
Its the reciprocal of the sine of the ramp angle. > 1 / ( sin ( ramp angle ) )
Find the measure of arc DB?
A+ = 82. * * * * * It depends on what measure you want: the angle subtended or the length of the curved segment, and also on what information you do have.
Audio John wants to measure the height of a tree He walks exactly 100 feet from the base of the tree and looks up The angle from the ground to the top of the tree is 33º How tall is the tree?
64.9408 ft. You calculate this using trigonometry. Sine, cosine, and tangent are fractions made by dividing the length of one of the sides of a triangle by one of the other sides. The sine, cosine, or tangent for an angle is always the same, so if we know the angle and the length of one of the sides we can calculate the lengths of the other sides. Assuming the tree is at 90o to the ground we have a right angled triangle. The side of the triangle from john to the top of the tree is the hypotenuse ( the longest side) from John to the base of the tree is the adjacent side, and the ground to the top of the tree is the opposite side. Because we know the length of the adjacent side and need to find the length of the opposite, the function we use is the tangent, tangent = length of opposite side divided length of adjacent side. The angle is 33o so we look up tan 33o which is 0.6494. Tan(33)= length of opposite/length of adjacent (move length adj by multiplying both sides by length adj) Tan(33) x length of adjacent = length of opposite (length from John to tree 100ft= 30.84 metres) 0.6494 x 30.48 metres = length of opposite (which is the height of the tree) Tree height = 19.79 metres (or 64 feet 11 and 9/64 inches)
What kind of angle are there?
Right angle (90) Acute angle (<90) Obtuse angle (>90) Straight angle (180) Reflex angle (>180)
What is the incidence angle at which the angle of refraction is 90 degrees called?
A right angle.
How do you find the diagonal of a rectangle if you know the length and the angle?
You need to use trigonometry cosine (angle) = length/diagonal diagonal = length/cos(angle)
Sides of a parallelogram are 15 cm and 8 cm. find the length of each diagonal if the larger angle is 100 degrees?
The length of the diagonal which is to opposite of 100⁰ angle is: diagonal length = √[152 + 82 - 2(15)(8)cos 100⁰] diagonal length ≈ 18 The length of the diagonal which is to opposite of 100⁰ angle is: diagonal length =√[152 + 82 - 2(15)(8)cos 80⁰] diagonal length ≈ 16
How to measure length of two sides height diagonal of a right angle triangle where all degrees of angle and length of base given?
The answer depends on whether the base is one of the legs of the right angle or the hypotenuse. Also, a triangle cannot have a diagonal.
What is the length of a diagonal rectangle with a length of 9 inches and a width of 3 inches?
To find the diagonal length of a rectangle use Pythagoras' theorem for a right angle triangle.
A rectangular lot is 102x296 ft. Find the length of the diagonal and the angle it makes with the longest side?
The diagonal is SQUAREROOT(1022 + 2962) = 313.08ft Angle = tan-1(102/296) = 19.01 degrees
How do you find the distance between the corner and the center of a rhombus?
You must know something else. Like an angle. Or coordinates of the vertices on an x-y plane. And, of course the length of a side. If you know an angle, then you know them all, adjacent angles are supplementary. use law of cosines to find the length of a diagonal. 1/2 of the diagonal is the distance to the opposite vertices. Use law of cosines with the adjacent angle to find the length of the 2nd diagonal. 1/2 of this 2nd diagonal is the distance from the center to the other two vertices.
How to find the area of a rectangle from diagonal?
You need to know more...either the angle or the length of one of the sides.
How do you work out the diameter of a rectangle?
The diameter of a rectangle is the same as its diagonal (angle in a semicircle is a right angle). So the diagonal forms a right angled triangle with the diagonal as the hypotenuse and two sides of the rectangle (a length and a breadth) forming the legs of the triangle. If the lengths of the sides of the rectangle are known, a simple application of Pythagoras's theorem given the measure of the diagonal.
What is the approimate side length of a square with a diagonal of 5 units?
The side length of the square is about 3.54 units using Pythagoras' theorem for a right angle triangle
What is the area of quadrilateral with 4 unequal sides?
You need to know the lengths of the sides and at least one angle or the length of a diagonal.
How do you find the width and length of a rectangle if you only know the diagnol?
If the only known fact is the length of the diagonal then the width and length of the rectangle CANNOT be determined. The diagonal could be that of a square, or of a rectangle that is very long but quite narrow. Consequently at least one more fact is required such as; the dimension of either the length or the width, or the angle that the diagonal makes to the base of the rectangle or even the area of the rectangle.
How do you work out the length of a rectangle with the width and an angle?
It depends on what angle. The main angles of a rectangle are all 90 degrees and knowing that does not help. If however, the angle in question is the angle made by the diagonal with one of the sides, then it is possible to use a basic trigonometric ratio to work out the length. Details will depend on which angle is given.
