In the figure above, if y = 40 and = 8, which of the following most closely approximates the length of ?
A. 0.1
B. 9.53
C. 10.44
D. 12.45
Answer:B
In the figure above, if y = 40 and = 8, which of the following most closely approximates the length of ?
A. 0.1 B. 9.53 C. 10.44 D. 12.45
Explanation: B Triangle legs LN and MN are opposite and adjacent, respectively, to ∠y. Therefore, from SOHCAHTOA, we need to use the tangent trigonometric function. Plugging in the values that the question gives us into the equation for tangent, we get tan 40° = . Now, use your calculator to determine that the length of MN most closely approximates 9.53, which is (B).