Question

A. Unfortunately, the precise data used by Eratosthenes was lost long ago. However, if Eratosthenes used a meter stick for his experiment today, then the stick’s shadow in Alexandria would be 127 mm long. Determine the angle 0 that the sunrays made with the meter stick. Remember that a meter stick is 1000 millimetres long.B. Assuming that the sun’s rays are essentially parallel, determine the central angle of the circle if the angle passes through Alexandria and Syene. How did you find your answer?

Answer 1

A

Answer:

Step-by-step explanation:

The right triangle formed is shown below.

To find θ, we would apply the tangent trigonometric ratio which is expressed as

tan θ = opposite side /adjacent side

From the triangle,

opposite side = 127

adjacent side = 1000

tanθ = 127/1000 = 0.127

taking the tan inverse of 0.127

θ = tan^1(0.127)

θ = 7 degrees