Given; a=2.52, c=4.75 find the remaining parts of the right triangle.
I found b which equals 4.03 but need help with the angle. We already know that one angle = 90 since its a right triangle. I just need to know angle A.
Angle A =
a)58 degrees
b)32 degrees
c)28 degrees
d)62 degrees
Would the law of sines help, if you know one angle?
Yes, the Law of Sines can be used to find the angle of a right triangle if you know the length of one side and one angle. However, in this case, since you already know that one angle is 90 degrees, the Law of Sines is not necessary. We can use the basic trigonometric function, specifically tangent, to find the angle A.
To find angle A, we can use the tangent function, which is defined as the ratio of the length of the opposite side to the length of the adjacent side:
tan(A) = opposite/adjacent
In this case, we know that side a is the opposite side to angle A and side c is the adjacent side. Therefore, we can write:
tan(A) = a/c
Plugging in the values, we have:
tan(A) = 2.52/4.75
Using a scientific calculator or trigonometric table, we can find the value of A:
A = tan^(-1)(2.52/4.75)
Calculating this value, we get approximately 28.03 degrees.
Therefore, the correct answer choice would be (c) 28 degrees.