Gough Ellis
10/21/2023 · High School

3. Point \( B \) is between points \( A \) and \( C \). The distances of \( A \) and \( C \) from point \( B \) are 1000 m and 2000 m , respectively. Measured from point \( B \), the angle of elevation of point \( C \) is \( 8^{\circ} \) 30 , while that of point \( A \) is \( \theta \). The difference in the elevations of \( A \) and \( C \) is 44.4 m , with \( C \) being lower than \( A \). Considering the effects of curvature and refraction, compute the value of \( \theta \).

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The angle of elevation \( \theta \) from point \( B \) to point \( A \) is approximately \( 18.9^\circ \).

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