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.
sin 0=13/85
If it's a right angle triangle then the other leg will also be 13 units in length and use Pythagoras' theorem if you need to find the length of the hypotenuse.
13
An angle and its complement have to add to 90 degrees. 77 and 13 add to 90. 13 is the complement of 77. You will also be doing supplement. They add to 180.
72 degrees
It is about 67 degrees
Use trigonometry to solve it:13* (sin 60°) = 13 (0.866) = 11.258 or 11.26 units to two decimal places
Use trigonometry and the sine ratio: sin = opp/hyp and when rearrange hyp*sin = opp 13*sin(60) = 11.25833025 or 11.26 units in length to 2 d.p.
It is: cos^-1(12/13) = 22.61986495 degrees
6.5 sqrt(3) = about 11.2583 (rounded)
22227 feet This is a right triangle with an angle equal to 13 degrees, and the side opposite that angle equal to 5000 ft (6000-1000). We need to find the hypotenuse (which we will call x) of the triangle (i.e., the length of the trail). Because sin(theta)=opposite side/hypotenuse. Therefore we have: sin(13 deg)=5000/x Solving for x: x=5000/sin(13 deg)=22227 [Be sure that you are using degrees rather than radians; otherwise, you will get a wrong answer. If your calculator is using radians and you don't want to change it, you first need to convert 13 degrees to radians by multiplying 13 by (pi/180).] Using radians, you would do the same as above, but the last line would be: x=5000/sin(13*pi/180)=22227
Sin 60 = opp/hyp, in this case opp/13 so opp = 13 sin 60 = 13 x (sqrt 3)/2 = 6.5 x 1.732 = 11.26 (and third side is 6.5)
Use the sine ratio: 13*sin 600 = 11.25833025 or 11.26 units to two decimal places. Incidentally the third side is 6.499999998 units Check using Pythagoras: 11.258330252+6.4999999982 =169 and the square root of 169 is 13 units
The dimensions given fits that of a right angle triangle and sin^-1(12/13) = 67.38 degrees
Yes because 12 divided by tan(67.38013505) equals 5 And: 122+52 = 169 making the hypotenuse of the right angle triangle 13 cm
You have not indicated which side the angle is opposite of. Can us law of cosines then by calling sides c and a. b^2 = a^2 + c^2 - 2(a)(c) cos(B) I would arbitrarily have to assign values you have not given me.
10.95 cm