Trigonometryhard · Past Paper

Length of a shadow of a vertical tower on level ground increases by 10 m when altitude of sun changes from 45 to 30. Height?

A5(√3+1) m
B10(√3+1) m
C5√3 m
D10 m

✓ Correct Answer: A5(√3+1) m

h(cot 30 - cot 45) = 10. h(√3 - 1) = 10. h = 10/(√3-1) = 5(√3+1).

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