The length of the shadow of a tree is 6 m, and the length of the shadow of a person whose

| September 22, 2021 | education

The length of the shadow of a tree is 6 m, and the length of the shadow of a person whose height is 1.75 m is 1.5 m. Find the height of the tree.

The light falls at the same angle, as on a person, as on a tree. The shadow is cast at an angle of 90` relative to the person and the tree. Rays of light passing along the top of a tree and a person at the same degree. a kind of rectangular triangle is obtained, where the legs are the shadow and the body itself, which gives the shadow, and the hypotenuse is the rays of light above the body.
Path ABC AC-hypotenuse, AB-height, BC-length of the shadow of a person
Path A1B1C1 A1C1-hypotenuse, A1B1-height, B1C1- length of the tree shadow
Consider these triangles, they are similar in terms of the equality of three angles.
So the ratio of the legs of one is equal to the ratio of the legs of the other:
A1B1 / B1C1 = AB / BC, we express A1B1:
A1B1 = AB * B1C1 / BC = 1.75 * 6 / 1.5 = 7m
Answer: tree height 7m



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.