1.

Consider a triangular plot ABC with sides AB = 7 m, BC = 5 m and CA = 6 m. A vertical lamp-post at the midpoint D of AC subtends an angle 30° at B. The height (in m) of the lamp-post is:

A. \(\frac{3}{2}\sqrt{21}\)
B. \(\frac{2}{3}\sqrt{21}\)
C. \({2}\sqrt{21}\)
D. \({7}\sqrt{3}\)
Answer» C. \({2}\sqrt{21}\)


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