Question
A flagpole stands on top of a building. From a point 50
meters away from the base of the building, the angle of elevation to the top of the building is 30°, and to the top of the flagpole is 45°. Find the height of the flagpole.Solution
Let the height of the building be h meters, and the height of the flagpole be f meters. From the angle of elevation to the top of the building (30°): tan 30° = h / 50 1/√3 = h / 50 h = 50 / √3. From the angle of elevation to the top of the flagpole (45°): tan 45° = (h + f) / 50  1 = (h + f) / 50  h + f = 50. Substitute h = 50 / √3: (50 / √3) + f = 50. f = 50 - (50 / √3). f = 50(1 - 1/√3). f = 50(√3 - 1) / √3. Answer: d
612, 487,?, 396, 388, 387
Find the missing number in the given number series.
1, 2, 6, 24, 120, ?What will come in place of the question mark (?) in the following series?
36, 85, ?, 230, 330, 451
Find the missing term in the series:
2, 5, 11, 23, 47, ?
What will come in place of the question mark (?) in the following series?
400, 841, 1202, ?, 1716, 1885
44   45    41   50    ?      59    23
...221, 100, 0, -81, ?
...900 Â Â Â 90Â Â Â 18Â Â Â ? Â Â Â Â 2.16Â Â Â Â 1.08
16, 20, 11, 27, ?, 38
37, 57, 82, ?, 147, 187
