The length of the shadow of the lightning rod is 9.2 m; at the same time, a 1.9 m high stake vertically stuck
| July 1, 2021 | education
The length of the shadow of the lightning rod is 9.2 m; at the same time, a 1.9 m high stake vertically stuck into the ground gives a shadow with a length of 2.3 m. Find the height of the lightning rod.
Since the lightning rod and the stake are perpendicular to the ground, the triangles AB and DEB are rectangular.
Right-angled triangles ABC and BDE have a common angle B, then triangles ABC and BDE are similar in acute angle.
From the similarity of triangles it follows: AC / DE = AB / BD.
AC = DE * AB / BD = 1.9 * 9.2 / 2.3 = 7.6 m.
Answer: The length of the lightning rod is 7.6 m.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
