Use the image to answer the question.
Which ratio would be used to find x?
A right triangle is shown. One of the angles is labeled 20, with its adjacent side labeled 54 and the hypotenuse labeled x.
A.
sin
(
20
°
)
=
x
54
B.
cos
(
20
°
)
=
x
54
C.
cos
(
20
°
)
=
54
x
D.
sin
(
20
°
)
=
54
x
B. cos(20°) = x/54 would be used to find x.
The correct answer is A.
The ratio sin(20°) = x/54 would be used to find x in this scenario.
To find the ratio that would be used to find x, we need to remember the relationship between the sides of a right triangle and the trigonometric functions.
In this case, we are given the angle 20° and the adjacent side 54. The hypotenuse, which is labeled x, is the side opposite to the right angle.
The ratio that relates the adjacent side and the hypotenuse is cosine (cos). So, to find x, we would use the following ratio:
cos(20°) = x/54
Therefore, the correct answer is option B:
cos(20°) = x/54