Question
The angles of elevation of the top of a flagpole from
two points A and B on level ground are 30° and 60° respectively. The points A and B are on the same straight line as they are 20 meters apart. Find the height of the flagpole.Solution
Let the height of the flagpole be h meters, and let the distance of point A from the base of the pole be x meters. tan 30° = h/x. 1/√3 = h/x. h = x/√3. From the triangle formed with the 60° angle, tan 60° = h/(x - 20). √3 = h/(x - 20). h = √3(x - 20). Equating the two expressions for h: x/√3 = √3(x - 20). Multiply through by √3: x = 3(x - 20). x = 3x - 60. 2x = 60. x = 30 meters. Substitute x into h = x/√3: h = 30/√3 = 10√3 meters. Correct answer: a) 10√3 meters
Statements: L $ W, W * H, H # T, P % T
Conclusions:      I. T @ L                 II. H % L               �...
Statements: M $ K; K & N, N % R, R @ W
Conclusions:Â Â Â Â Â
I. W & KÂ Â Â Â Â Â Â Â Â Â Â Â Â Â
II. K & W         �...
Statements: M ≤ N; O < R; O = N; S ≥ Q; N > S
Conclusions:
(i) Q < M
(ii) N ≥ Q
(iii) M > R
Statements : T % W % B $ I @ LÂ
Conclusions :Â
I. B * TÂ
II. L © BÂ
III. L * T
Statement: K = B; D ≥ L ≥ T ≥ B
Conclusion: I. D > K II. D = K
Statements: M > L = K ≥ H, V > G > M, U < N = H
Conclusions:
I. V > U
II. H < G
III. L ≥ V
Statements: I ≥ J ≤ K = L ≤ M; G ≤ H < I; M ≤ N < O ≥ P
Conclusions:
I. M < H
II. N ≥ J
III. M ≥ H
...Statements: O ≥ M > F, K ≤ J ≤ D = F, B ≤ Z ≤ L = K
Conclusion:
I. M > L
II. D ≥ B
Statements: Q ≤ P ≤ R < S, T = M > Q > V
Conclusions: Â Â Â Â
 I. T > VÂ
II. Â V < SÂ
III. Q < TÂ
...Statements:  W > O > E ≤ N > P; L ≥ U; P > Q = R > U
Conclusions:
I. Â N > U
II. Â P > U
III. Â P < L
IV....
