Final answer:
Trigonometry can be used to determine the length of the shadow formed when sunlight touches an object by using the principles of right triangles and trigonometric ratios.
Step-by-step explanation:
Trigonometry can be applied to determine the length of the shadow formed when sunlight touches an object by using the principles of right triangles and trigonometric ratios. The shadow's length is related to the height of the object and the angle of elevation of the sun's rays. To find the shadow length, we can use the tangent function, which is the ratio of the length of the opposite side (shadow) to the length of the adjacent side (height of the object).
For example, if the height of the object is 5 meters and the angle of elevation of the sun is 30 degrees, we can calculate the length of the shadow as follows:
Tan(30 degrees) = Shadow Length / 5 meters
Shadow Length = 5 meters * Tan(30 degrees)
Therefore, trigonometry allows us to determine the length of the shadow formed when sunlight touches an object.