Answer:
x = 9.2 cm
Step-by-step explanation:
We can use a trigonometric relation in order to find the correct answer. In this case, since we know the opposite side to the angle and we want to know the adjacent side, the most convenient function is the tangent:
tan(40°) = opposite/adjacent or opposite = tan(40°)*adjacent
Substituting the adjacent side value and the tan(40°), we get:
x = 0.839 * (11 cm) = 9.229 cm (approximately 9.2 cm)
Therefore, the answer is 9.2 cm.
