Question

At what distance should the person stand from the wall so that the angle of vision is 45?

A) It depends on the height of the wall.
B) The person should stand 45 feet away.
C) The person should stand at a distance equal to the height of the wall.
D) The person should stand at a distance equal to twice the height of the wall.

Answer 1

The person should stand at a distance equal to the height of the wall to achieve an angle of vision of 45 degrees, as this forms an isosceles right triangle.

Step-by-step explanation:

The question inquires at what distance a person should stand from a wall so that the angle of vision is 45 degrees. The correct answer to this question is C) The person should stand at a distance equal to the height of the wall. This is because when a person views the top and bottom of the wall at a 45-degree angle, a right triangle is formed where the wall height is one leg, and the distance from the wall is the other leg. Since the angles are 45 degrees, the triangle is an isosceles right triangle, and thus the legs are equal in length.