Math question...for the electricians..?

Question

A right triangle has one angel that is 60 degree.The side adjacent to the 60 degree angle has the length of 7 in.How long is the opposite side?

For the electricians..solve this pls?...
go to the next questin after this one ok...ooo..by the way...alex is right..thats all i wanted to know..12.12

Answer 1

12.12 inches.

Answer 2

A right triangle with one 60° angle has a 90° and a 30° angle. Using the law of sines where a/sinA = b/sinB. A is the opposite side. B is the adjacent side and angle b= 30°.

a / sin 60° = 7 / sin 30°
a = 7sin60° / sin30°, sin60° = √3/2 , sin30° = ½
a = 7 * √3/2 / ½
a = 7√3

Answer 3

First, sketch a right triangle. Next, label by x = 7 inches the side or leg that is adjacent to the sixty degree angle and let this side or leg be parallel to the conventional horizontal or x-axis of the Cartesian coordinate system; since the side that is opposite to the sixty degree angle runs in a vertical direction and is adjacent to a ninety degree angle, it is parallel to the conventional vertical or y-axis of the Cartesian coordinate system; therefore, it may help to denote this side by y. The following are the six trigonometric functions: sin(theta), csc(theta), cos(theta), sec(theta), tan(theta), and cot(theta). It is convenient to choose the trigonometric function tan(theta) because it is equal to opposite divided by adjacent; in the case of this problem, the side opposite of theta = 60 degrees is equal to y and the side adjacent to theta = sixty degrees is equal to x = 7 inches. Now, tan(theta) = y / x = y / 7 inches = tan(60 degrees). Solve for y: y = (7 inches) * tan(60 degrees). If you do not have a calculator, the exact value of tan(60 degrees) can be derived by the following process: sketch an equilateral triangle with all sides equal to 2 units and all angles equal to sixty degrees; next, bisect the triangle to form two right triangles that have a hypotenuse r equal to 2 units, a leg or side y that is opposite the sixty degree angle and is equal to (3 ^ 1/2) units, another leg or side x that is equal to 1 unit, and an angle that is adjacent to the side y that is equal to thirty degrees; thus, tan(theta) = y / x = [(3 ^ 1/2) units] / 1 unit = tan(60 degrees). The exact value of y is 7 * sqrt(3) inches.

Answer 4

Pathagreens therom
Agent side is 7 then hypotenues = 14
7^2+x^2=14^2
x=√(14^2-7^2)=√4*7^2-7^2)=
√(3*7^2)=7√3 inches

Tangent
tan 60=√3=x/7
x=7√3 inches

Cosine
cos 60=√3/2=x/14
x=7√3 inches

Answer 5

tan 60 =sqrt3 =x/7 so x=7*sqrt 3 inch

Answer 6

7radical 3

which = 12.12435565