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What are the lengths of the missing sides of a 30-60-90 triangle if the longer leg of the triangle is 18 centimeter?
The longest side of the triangle will always be opposite the largest angle, which is 90° in this case. We can use the sine law to work out the other sides with that: sin(90°) / 18 = sin(60°) / x = sin(30°) / y 1/18 = sin(60°) / x x = 18 sin(60°) x = 18√3 / 2 x = 9√3 1/18 = sin(30°) / y y = 18 sin(30°) y = 9 So the triangle has a sides of 9 and 9√3, with a hypotenuse of 18
Cos 60 equals and sin 60 equals?
cos60= 1/2 sin60=1.732/2
What is the sin of 105 degrees?
sin 105 = sin (60+45) = sin60cos45 + cos60sin45sin 105 = ((sqrt(3)/2)((sqrt(2)/2)) + ((1/2)((sqrt(2)/2)))sin 105 = (sqrt(6) + sqrt(2)) / 4
What is the resultant of a 30 unit and 60 unit vector inclined to each other at 60 degrees?
Suppose the 30 unit vector is acting horizontally. Then the 60 unit vector has a horizontal component of 60*cos(60) units and a vertical component of 60*sin(60) units. So total horizontal = 30 + 60*cos(60) = 60 units total vertical = 60*sin(60)= 51.96 units. Then magnitude of resultant = sqrt(602 + 51.962) = sqrt(6300) = 79.37 units (approx). And direction = tan-1(51.96/60) = 40.89 degrees (from the 30 unit vector).
What is the area of an equilateral triangle when its perimeter is 22.5 cm?
Area = 0.5*7.52*sin(60 degrees) = 24.357 square cm rounded to 3 dp.
Why is sine 30 the same as cosine of 60?
sin(30) = sin(90 - 60) = sin(90)*cos(60) - cos(90)*sin(60) = 1*cos(60) - 0*sin(60) = cos(60).
The shorter leg of a 30-60-90 degree triangle is 6 what is the length of the other leg?
Use the Sine rule. If L is the length of the longer leg, then L/sin(60) = 6/sin(30) So that L = 6*sin(60)/sin(30) = 12*sin(60) = 12*sqrt(3)/2 = 10.39 units.
What are the ratios of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
The longer leg is opposite the 60 deg angle. Suppose A = 60 deg, C = 90 deg and a and c are the corresponding sides. Then, by the sine rule a/c = sin(A)/sin(C) a/c = sin(60)/sin(90) = sqrt(3)/2
How will the value of sin 35 determine?
to find sin 35 here we take the angle = x=15 then 3x=45 , 4x=60 then 4x-3x=60-45 then by putting sin on rhs we will get cos 35 and sin 35 hope it helped you
What is the cofunction of sin 30 degree?
cos 60
Find the value of sin 300 degrees?
sin 300 = -sin 60 = -sqrt(3)/2 you can get this because using the unit circle.
A hypotenuse of a 30-60-90 triangle has a length of 13 what is the length is the side opposite of the 60 degree angle?
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.
What is the length of the side opposite the 60 angle if the hypotenuse is 17?
The length of the side opposite the 60° angle is about 14.72(sin 60°) = 0.866The length of the side opposite the 30° angle is 8.5(sin 30°) = 0.5
Solve sin x square root of 3 by 2?
Do you mean sin(x)=sqrt(3)/2? IF so, look at at 30/60/90 triangle. We see the sin 60 degrees is square (root of 3)/2
What is exact value sin480degrees?
sin 480° is equal to sin 60°, which is sqrt(3)/2 or approximately 0.866.
What are the lengths of the missing sides of a 30-60-90 triangle if the longer leg of the triangle is 18 centimeter?
The longest side of the triangle will always be opposite the largest angle, which is 90° in this case. We can use the sine law to work out the other sides with that: sin(90°) / 18 = sin(60°) / x = sin(30°) / y 1/18 = sin(60°) / x x = 18 sin(60°) x = 18√3 / 2 x = 9√3 1/18 = sin(30°) / y y = 18 sin(30°) y = 9 So the triangle has a sides of 9 and 9√3, with a hypotenuse of 18
What is sin 60 degrees?
square root 3/2
