Respuesta :
Answer:
0.866a.
Step-by-step explanation:
As the leg is opposite to the 60 degree angle we use the sine ratio.
sin 60 = x/a where x is the length of this leg.
x = a * sin 60
= 0.866a.
The length of the leg opposite to angle 60° will be 0.866 a.
What is a right-angle triangle?
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
In a right triangle with the length of hypotenuse equal to (a) and one angle 60°.
Let the length of the side opposite to the angle 60° be x.
We know that the ratio of the opposite side of the angle and hypotenuse of the right-angle triangle is equal to the sine of that angle that is 60 degrees.
sin 60° = x / a
We know that the value of sin 60° will be √3 / 2.
x / a = √3 / 2
x / a = 0.866
Multiply both sides by a, then the value of the variable x will be
x = 0.866 a
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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