GCEMathematicsTrigonometry2019

The angle of elevation of the top of a tower from a point 50 m away on level ground is 30°. Find the height of the tower, correct to the nearest metre. [Take √3 = 1.732]

A29 mCORRECT
B43 m
C25 m
D87 m
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Why the answer is A, and why the others tempt you.
Height = 50 × tan 30° = 50 × (1/√3) = 50/1.732 ≈ 28.87 ≈ 29 m. Option B (43 m) results from using tan 60° instead of tan 30°, and option D (87 m) comes from multiplying 50 by √3 instead of dividing.
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