The shadow from the 12m post is 5m. Express the height of the sun above the horizon in degrees
December 27, 2020 | education
| Let’s imagine the problem in the form of a right-angled triangle, which leg AC is the length of the shadow of the vertical column, and leg BC is the pole itself, the length of which is 12 meters.
The BCA angle will be the desired angle of the Sun above the horizon.
Let us determine the tangent of the angle BAC through the legs.
tgABC = BC / AC = 12/5 = 2.4.
arctr2.4 ≈ 67.
Answer: The angle of the Sun above the horizon is approximately 67.
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