in this right trianlge ABC, m<c=90, m<a=63, and AB=10. if BC is represented by a, then which equation can be used to find a?
its 30 degrees
dvg
To find the equation that can be used to find the length of BC (denoted as 'a'), we can use the trigonometric relationship in a right triangle. Specifically, we can use the sine function, as it relates the lengths of sides of a right triangle to the angle opposite the side.
In this case, we have the following information:
m<c = 90 degrees (angle C is a right angle)
m<a = 63 degrees (angle A measures 63 degrees)
AB = 10 (length of side AB is 10 units)
To find a, we need to use the sine function with the known angle and the length of the side adjacent to the angle. In this case, the adjacent side is AB, so we can use the sine function as follows:
sin(A) = opposite/hypotenuse
In this equation, angle A is 63 degrees, opposite is BC (which we are trying to find), and the hypotenuse is AB, which is 10. Rearranging the equation, we can solve for BC:
BC = sin(A) * AB
Substituting the given values, we get:
BC = sin(63) * 10
Thus, the equation that can be used to find a (BC) is:
BC = 10 * sin(63)
since you have a right triangle,
a/10 = sin 63°