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Algebra
Pregunta

4. A person walks \( 2000 \) metres due north alon...

4. A person walks \( 2000 \) metres due north along a road from point \( A \) to point \( B \) . The point \( A \) is due east of a mountain oM, where \( M \) is the top of the mountain. The point \( 0 \) is directly below point \( M \) and is on the same horizontal plane as the road. The height of the mountain above point \( O \) is h metres. From point \( A \) , the angle of elevation to the top of the mountain is \( 15 ^ { \circ } \) . From point \( B \) , the angle of elevation to the top of the mountain is \( 13 ^ { \circ } \) . 

a) Determine the height of the mountain. (3 marks) 

Answer

 

Solución
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