Trigonometryhard · Past Paper

An observer finds elevation of a hill top as 30. Moving 1 km towards it, it is 45. Hill height?

A0.5(√3+1) km
B√3 km
C1 km
D1/(√3-1) km

✓ Correct Answer: A0.5(√3+1) km

h/h = tan 45. h/(h+1) = tan 30. h√3 = h + 1 => h = 1/(√3-1) = 0.5(√3+1).

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