Determine the length of x to the nearest tenth of a centimetre. M,N,O,x,10cm,36.87degrees.

Answer 1

To determine the length of x, we can use the trigonometric ratio tangent since we have the opposite side (M), the adjacent side (N), and the angle (O).

tan(O) = opposite/adjacent
tan(36.87) = M/N
tan(36.87) = x/10

Solving for x:
x = 10 * tan(36.87)
x ≈ 7 cm

Therefore, the length of x to the nearest tenth of a centimeter is 7.0 cm.