Question
A boat is being rowed away from a cliff 270 m high. From
the top of the cliff, the angle of depression of the boat changes from 60° to 45° in 2 minutes. What is the speed of the boat?Solution
According to the figure above: tan 45° = 270/(a + b) ⇒ 1 = 270/(a + b) ⇒ a + b = 270 Also, tan 60° = 270/a ⇒ √ 3 = 270/a ⇒ a = 270/ √ 3 ⇒ a = 90√ 3 = 155.8 ∴ b = 270 - 155.8 = 114.2 ⇒ The boat covers a distance of 114.2 m in 2 minutes. ∴ Speed of the boat = (114.2 x 60)/(2 x 1000) km/h = 3.4 km/h
Statement: L ≥ X ≤ Z > Y ≤ A, Y = B ≥ CÂ
Conclusion: I. C >A                         II. A ≥ C
...Statements: P @ Q, Q # R, R % S
Conclusions: a) P # RÂ Â Â Â Â Â b) P @ S
How many such pairs of letter are there in the word TELEPHONE, each of which has as many letters between them in the word as in the English alphabet?
Statement: P > Q ≥ R = S ≤ T < U
Conclusions: I. T > Q II. U < P
...Statement: C ≤ D < E; C > F > G
Conclusions: I. F < E II. C > G
...Statement: Z > T ≥ K; Z ≤ S = J; I > T
Conclusion:
I. J > K
II. I > S
Statements:Â
X % Y % Z $ I @ LÂ
Conclusions:Â
I. Z * XÂ
II. L © ZÂ
III. L * X
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is/are definitely true and then ...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statements:  B > K < Y, E > C ≥ O = Y
Conclusions:
I. C > B
II. E ≤ Y
III. E > K
IV. O ≥ K
...
