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Q6. (a) A tower 55 metres high stands on the top of a hill which has a 10° incline. The angle of depression from the top of the tower to a point A on the slope is 72°. B is a point further down the slope from A. The angle of depression from the top of the tower to B is 48°. Points A an B and the top of the tower all lie in the same vertical plane.

Calculate the distance between the points A and B. (12)

(b) Given: 2 tanθ = tanα + tanβ

Solve for θ in the range 0° ≤ θ ≤ 360° when α = 30° and β = 45°. (4)