Question

How do I calculate the length of MN?

Answer 1

`MN=5\sin 15^(\circ)\approx 1.29\ m`

Explanation:

Since MN ⊥ ED, then triangle MND is right triangle. In this triangle,

• MD = 5 m, because point M is the midpoint of the segment AD;
• ∠MDN=15° (given).

Thus,

`\sin \angle MND=(MN)/(MD),\\ \\\sin 15^(\circ)=(MN)/(5),\\ \\MN=5\sin 15^(\circ)\approx 1.29\ m.`