Question

A 2 meter tall vertical stack of firewood casts a 4 meter shadow on horizontal ground. what is the angle of the sun in the horizon?

Answer 1

To determine the angle of the sun in the horizon, we can use the concept of similar triangles and set up a proportion between the height of the stack and the length of the shadow. By solving this equation, we can find the angle of the sun.

Step-by-step explanation:

To determine the angle of the sun in the horizon, we can use the concept of similar triangles. Let's consider the vertical stack of firewood and its shadow as one triangle, and the line from the top of the stack to the tip of the shadow as another triangle. Since the two triangles are similar, we can set up the following proportion:

Height of the stack / Length of the shadow = Height of the triangle / Length of the line from the top of the stack to the tip of the shadow

Substituting the given values:

2 m / 4 m = x / 112.88 km * sqrt(x)

By solving this equation, we can find the value of x, which represents the angle of the sun in the horizon.