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This is a classic Pythagorean triangle.
Although you have given the side lengths, you have NOT given a letter to correspond , with the given side.
However,
Let 12 be the adjacentr side (base)
Let '5' be the opposite side ( perpendicular )
Let '13' by the hypotenuse.
Sin(Angle) = opposite / hypotenuse = 5/13
Angle = Sin^(-1) 5/13 = 22.619... degrees. NB This is the angle between the hypotenuse and the base(adjacent)
Now 'swopping' things around , we take the angle between the hypotenuse and the perpendicular (opposite) . This now becomes perpendicular(adjacent) and the base becomes the opposite.
Hence
Sin(angle) = 12/13
Angle = Sin^(-1) 12/13 = 67.380.... degrees. The angle at the 'top' of the triangle.
Verification. ' 90 + 67.380... + 22.619... = 180 ( allow for calculator decimals).
What else can I help you with?
What is the cos of angle 'a' with the measurements 5 13 12?
Use Cosine Rule a^(2) = b^(2) + c^(2) - 2bcCosA Algebrically rearrange CosA = [a^(2) - b^(2) - c^(2)] / -2bc Substitute CosA = [13^(2) - 12^(2) - 5^(2)# / -2(12)(5) CosA = [ 169 - 144 - 25] / -120 Cos)A) = [0] / -120 CosA = 0 A = 90 degrees (the right angle opposite the hypotenuse)/ However, If 'A' is the angle between '12' & '13' then 'a' is the side '5' Hence (Notice the rearrangement of the numerical values). CosA = [5^(2) - 12^(2) - 13^(2) ] / -2(12)(13) CosA = [ 25 - 144 -169] / -312 CosA = [ -288[/-312 CosA = 288/312 A = Cos^(-1) [288/312] A = 22.61986495.... degrees.
What is sin M written as a simplified fraction?
Sin(M) = 15/39 Simplified Sin(M) = 5/13 44Because '3' is a common factor to both '15' ( 5 x 3) & 39' ( 13 x 3) . So cancel down (reduce/simplify) by '3'.
A straight trail with a uniform inclination of 13 leads from a lodge at an elevation of 1000 feet to amountain lake at an elevation of 6000 feet what is the length of the trail to the nearest foot?
SOHCAHTOAThis would be the sine, the opposite over the hypotenuse.5000/h=sin 30 degrees5000 divided by sin 30 degrees= trail
When a man walks 5m towards east and turns right and moves 12m the magnitude of his displacement is 13m how?
Pythagoras. The right turn is assumed to be 90 degrees, and moving southwards. This forms the two shorter sides on a right angled triangle. They applying Pythagoras. h^)2) = 5^(2) + 12^(2) h^(2) = 25 + 144 h^(2) = 169 Don't forget to 'square root' both sides!!!! Hence h = sqrt(169) = 13 . This is a classic Pythagorean triangle.
The foot of a ladder is placed 5 feet from a building the top of the ladder rests 12 feet up on the building how long is the ladder?
13 feet
What is the sin of angle A 5 13 12?
The dimensions given fits that of a right angle triangle and sin^-1(12/13) = 67.38 degrees
What is the sin of angle a if bc is 5 ba is 13 and ca is 12?
5/13 = 0.3846 (to 4 dp)
What is the sin of angle b if the angle is opposite of the hypotenuse which is 13?
Unanswerable numerically: insufficient information described ambiguously. Is the angle 13 degrees or the hypotenuse 13 units long? Sin [angle] = Opposite / Hypotenuse where these are the sides, and you need to know the lengths of both to determine the angle.
What is the cos of angle a 5 13 12?
It is: cos = adj/hyp and the acute angles for the given right angle triangle are 67.38 degrees and 22.62 degrees
What are at least 15 or more classifications of angles defined in geometry?
1 degrees, minutes and seconds of an angle 2 acute angle 3 right angle 4 obtuse angle 5 reflex angle 6 interior angle of a polygon 7 exterior angle of a polygon 8 angle of elevation 9 angle of depression 10 corresponding equal angles 11 alternate equal angles 12 supplementary angles of 180 degrees 13 complimentery angles of 90 degrees 14 vertical opposite equal angles 15 subtended radian in a circle 16 earths tilt angle 17 angles transcribed by instruments 18 tangent ratio angle 19 cosine ratio angle 20 sine ratio angle 21 vertex or apex angle 22 angles around a point add to 360 degrees 23 a way out angle to sign off
Find value of trigonometric functions of quadrantal angle?
sin 0=13/85
What is the complement of an angle whose measure is 13 degrees?
The complement of an acute angle A is the angle 90° - A. The complement of 13° is 77°.
When was Wide Angle created?
Wide Angles was created on 2003-09-09.
What is the sum of angle measures of a 13-sided polygon?
Sum of exterior angles = 360 degrees Sum of interior angles = 1980 degrees
What is the sum of the interior measure angle of a 13 sided polygon?
The 13 interior angles of a 13 sided polygon add up to 1,980 degrees
What is the angle of one interior angle of a 13-gon?
Anything you like. Any single interior angle of a polygon is indeterminate - the only constraint is on the sum of all the interior angles.
What is measure of each interior angle if the sum of interior angles is 1980 degrees?
Providing that it is a 13 regular polygon each interior angle will be 152.3076923 degrees.
