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A flag pole 18 feet tall casts a shadow 12 feet long at a specific time of day. Find, to the nearest degree, the angle of elevation of the sun at this time of day.

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Answer:

56°

Step-by-step explanation:

Given that:

Height of flagpole = 18

Length of shadow = 12

The angle of elevation of tbe sun at the time of the day = θ

Uding trigonometry :

Tanθ = opposite / Adjacent

Tan θ = height of flagpole / length of shadow

Tan θ = 18 / 12

Tan θ = 1.5

θ = tan^-1 (1.5)

θ = 56.309

θ = 56° (nearest degree)

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