Question
The angle of depression of vertex of a regular hexagon
lying in a horizontal plane, form the top of a tower of height 135 m located at the centre of the regular hexagon is 60°. What is the length of the each side of the hexagon?Solution
Let OX be the height of the tower, angle of depression = Angle of elevation. y is the distance between u and o. In ∆XUO tan60° = 135/y √3 = 135/y y = 135/y ⇒ 45√3 In regular hexagon, ∆UOT, ∆ SOT,..... are equilateral triangles Length of hexagon = 45√3 m
Direction: Which of the following will replace ‘?’ in the given question?
10, 12, ‘?’, 27, 36, 45, 54, 63, 72
Which of the following numbers will replace the question mark (?) in the given series?
69, 70, 74, 83, ?, 124
12, 23, 68, 271, 1354, ?
Given below are two number series I and II where each series has a wrong (odd one out) number. The number that will actually come in place of the wrong ...
2 5 16 65 326 ?
18 113 559 2247 6721 13451
...1, 1, 1.5, 3, 7.5 , ?
2, 12, 36, 80, ?, 252
140Â Â Â Â 300Â Â Â Â 380Â Â Â Â Â 420Â Â Â Â Â 440Â Â Â Â Â ?
...12Â Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â Â Â Â Â 12Â Â Â Â Â Â Â Â Â Â 4.5Â Â Â Â Â Â Â Â Â 15
18      �...