Question
From the top of a cliff 100 meter high, the angles of
depression of the top and bottom of a tower are 45° and 60° respectively. The height of the tower isSolution
Let height of tower, be x in ∆AEC => tan 45° = AE / CE => 1 = (100 – x) / CE => CE = 100-x ∆ABD tan 60° = AB / BD => √3 = 100 / CE (CE = BD) => (100 – x) × √3 = 100 => 100 – x = (100 / √3) => x = 100 – 100 / √3 => x = 100 (1 – 1 / 100 / √3) => x = 100/ 3 (3 – √3)
Select the correct sequence of mathematical signs to replace the ‘@’ signs so as to balance the given equation.
252 @ 28 @ 11 @ 5 @ 22 = 42
Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the equation.
32 * 8 * 55 * 42 * 7 * 305
A cheetah can catch a deer running with a speed of 126 km/h and is 55 meters ahead of it, in 11 seconds. Find the time taken by the cheetah to catch a z...
In the following question, select the related number from the given alternatives.
22 : 330 :: 28 : ?
- If '+' means '-', ' X ' means '+', '-' means '÷' and '÷' means ' X ', then what is the value of the following expression?
32 ÷ 5 X 184 - 8 + 78 Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
30 * 4 * 2 * 1 * 121
- Which two signs should be interchanged to correct the given equation?
5 + 3 × 8 – 12 ÷ 4 = 3 If '+' means '-', ' X ' means '+', '-' means '÷' and '÷' means ' X ', then what is the value of the following expression?
480 - 12 + 250 X 3...
If ‘P’ means ‘+’, V means ‘x’, T means ‘-‘ and ‘Q’ means “÷’ , then find ...
Select the different combination of mathematical signs that can sequentially replace the # sign and balance the given equation.
63 # 9 # 52 # 10 # 4 = 19
