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The answer depends on which of the three angles 'a' is!
5/13
It is down to trigonometry. You have two parts of a triangle, so you are looking for the length of the last line. As the man turned right, there will be a right angle in the triangle. As we have two sides, the 12m and 5m, using Pythagoras theorem we can work out the length of the last side. The square of the hypotenuse is equal to the square of the other two sides. 12 x 12 = 144. 5 x 5 = 25. 144 + 25 = 169. 13 x 13 = 169. So the length of the other side is 13.
SOHCAHTOAThis would be the sine, the opposite over the hypotenuse.5000/h=sin 30 degrees5000 divided by sin 30 degrees= trail
13 feet
The dimensions given fits that of a right angle triangle and sin^-1(12/13) = 67.38 degrees
The answer depends on which of the three angles 'a' is!
5/13 = 0.3846 (to 4 dp)
It is: cos = adj/hyp and the acute angles for the given right angle triangle are 67.38 degrees and 22.62 degrees
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.
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
sin 0=13/85
The complement of an acute angle A is the angle 90° - A. The complement of 13° is 77°.
Wide Angles was created on 2003-09-09.
Sum of exterior angles = 360 degrees Sum of interior angles = 1980 degrees
The 13 interior angles of a 13 sided polygon add up to 1,980 degrees
Anything you like. Any single interior angle of a polygon is indeterminate - the only constraint is on the sum of all the interior angles.