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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 the tan of angle B in a 12 by 13 by 5 triangle?
In a triangle with sides measuring 12, 13, and 5, we can identify the angle opposite the side measuring 5 as angle B. To find the tangent of angle B, we use the formula ( \tan(B) = \frac{\text{opposite}}{\text{adjacent}} ). Here, the side opposite angle B is 5, and the adjacent side (which can be either of the other two sides depending on which angle we consider) is 12. Therefore, ( \tan(B) = \frac{5}{12} ).
What is the cos of angle B 5 13 12?
To find the cosine of angle B given the sides of a triangle, you typically use the cosine rule or the relationship between the sides. However, the values "5," "13," and "12" seem to refer to the lengths of the sides of a triangle. If these correspond to a triangle with sides a = 5, b = 12, and c = 13, you can use the cosine rule: ( \cos(B) = \frac{a^2 + c^2 - b^2}{2ac} ). Plugging in the values, ( \cos(B) = \frac{5^2 + 13^2 - 12^2}{2 \cdot 5 \cdot 13} = \frac{25 + 169 - 144}{130} = \frac{50}{130} ), which simplifies to ( \cos(B) = \frac{5}{13} ).
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
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
Which lines if any must be parallel based on the given information Given angle 3 is congruent to angle 13?
If angle 3 is congruent to angle 13, it suggests that the lines forming these angles are parallel based on the Alternate Interior Angles Theorem. This theorem states that if a transversal intersects two lines and the alternate interior angles are congruent, then the two lines are parallel. Therefore, the lines that form angles 3 and 13 must be parallel.
How do you find the angle of a right triangle with the length of two legs?
Use Trigonometry. Sine(Angle) = opposite/ hypotenuse => angle = Sin^(-1)[opposite/hypotenuse[ Cosine(angle) = adjacent /hypotenuse => angle = Cos^(-1)[adjacent/hypotenuse] Tangent(angle) = opposite/adjacent => angle = Tan^(-1)[opposite/adjacent]. These trig. functions are often reduced to SOH,CAH,TOA. Depending on your calculator the inverse buttons can be Sin^(-1) or ArcSin Cos^9-1) = ArcCos Tan^(-1) = ArcTan For example. The side lengths are 5,12,13 Hence Sin(angle) = opposite/hypotenuse = 5/13 Angle = Sin^(-1) [ 5/13] Angle = 22.61986495.... degrees. or Angle ~ 22.6 ( 1.d.p.). Simillarly for the other angles, but make sure you use the correct Trig. Function.
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 ratios of the measures in angles def is 7 13 16?
To find the ratio of the measures of angles DEF, which are 7, 13, and 16, you simply express these numbers in their simplest form. The ratio is 7:13:16. This indicates that for every 7 parts of the first angle, there are 13 parts of the second angle and 16 parts of the third angle.
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°.
In GHK GH equals 19 gk equals 13 and KH equals 22 GK 13 And KH 22 which angle measures in order from least to greatst?
To determine the angles in triangle GHK, we can use the Law of Cosines. The sides are given as GH = 19, GK = 13, and KH = 22. By calculating the angles, we find that angle GHK corresponds to the longest side (KH), making it the largest angle, while angle GKG corresponds to the shortest side (GK), making it the smallest angle. Therefore, the angles in order from least to greatest are: angle GKG, angle GHK, and angle HKG.
When was Wide Angle created?
Wide Angles was created on 2003-09-09.
