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: A — 0.5(√3+1) km
h/h = tan 45. h/(h+1) = tan 30. h√3 = h + 1 => h = 1/(√3-1) = 0.5(√3+1).
Share this question
More from Trigonometry
- What is the reciprocal of sin(theta)?
- Which is equivalent to 1 / cot A?
- If cos θ = 2/3, evaluate 9 tan²θ - 1.
- A man 1.5 m tall is 28.5 m away from a tower 30 m high. What is the angle of elevation of the top of the tower from his eye?
- In a right triangle, if the base is 8 and the hypotenuse is 10, find cos θ.