1) Cand \( D \) are two olaservation posts on the rame hoirciontal ground at the foot \( A \) of a verfical tower \( A B \). The to wer is \( 18 \mathrm{~m} \) dee North of \( D_{0} \) and \( 24 \mathrm{~m} \) eastiof \( C \). The angle of elevation of Brrom \( D \) is \( 35^{\circ} \) Calculat to 3 s the oheight \( A B \) distance. (D) (wi) Angle of elevation of B from C (iv) Bearing of \( C_{\text {from }} D \).
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Points A and B are 100 m apart on a coastline. B is directly East of A. A lighthouse is out at sea. The bearing of the lighthouse is 164° from A and 215° from B. The angle of elevation of the top of the lighthouse from A is 27°. Find the distance of the lighthouse from A. Find the height of the lighthouse. Give your answers correct to 1 d.p. but use accurate values in your working.
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OAB is a triangle in the horizontal plane through the foot $\mathrm{P}$ of the tower at the middle point of the side $\mathrm{OB}$ of he triangle. If $\mathrm{OA}=2 \mathrm{~m}, \mathrm{OB}=6 \mathrm{~m}, \mathrm{AB}=5 \mathrm{~m}$ and $\angle \mathrm{AOB}$ is equal to the angle subtended by the tower at A then the height of the tower is (A) $\sqrt{\frac{11 \times 39}{25 \times 3}}$ (B) $\sqrt{\frac{11 \times 39}{25 \times 2}}$ (C) $\sqrt{\frac{11 \times 25}{39 \times 2}}$ (D) none of these
If the angles of elevation of the top of a tower from three collinear points $A, B$ and $C$, on a line leading to the foot of the tower, are $30^{\circ}, 45^{\circ}$ and $60^{\circ}$ respectively, then the ratio, $A B: B C$, is: (A) $\sqrt{3}: \sqrt{2}$ (B) $1: \sqrt{3}$ (C) $2: 3$ (D) $\sqrt{3}: 1$
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