There are two poles, one on each side of the road. The higher pole is 54 m high. From the top of this pole, the angle of depression of the top and bottom of the shorter pole is 30 and 60 degrees respectively. Find the height of the shorter pole.

A pole is broken at some height and makes 60° to the ground and the distance between the bottom point of the pole and the point it touches the ground is 10m. What is the length of the pole?

Find the angle between the hands of a clock at 3:20 PM.

At what time between 3 PM and 4 PM would the two hands of the clock be together?

If January 1st, 2023 is a Sunday, what day of the week will be October 31st, 2023?

What was the day of 14 April 2000?

What was the day on 16 August 1947?

What was the day of the week on 26th January 1950?

What day of the week was 29th February 2016?

Find the value of x in equation given 8^x+1 – 8^x-1 = 63

Solve for x : logx3 + logx9 + logx27 + logx81 = 100

Solve 1/logab(abcd) + 1/logbc(abcd) + 1/logcd(abcd) + 1/logda(abcd)

Find the compound interest on Rs. 10,000 at 10% per annum for a time period of three and a half years.

If Rs. 5000 amounts to Rs. 5832 in two years compounded annually, find the rate of interest per annum.

A sum of money amounts to Rs. 669 after 3 years and to Rs. 1003.50 after 6 years on compound interest. Find the sum.

If the difference between compound interest and simple interest on some principle amount is at the rate of interest of 20% per annum for 3 years in $48, then what is the principle amount?

A sum of money placed at compound interest doubles itself in 3 years. In how many years will it amount to 8 times itself?

 Find the partial derivatives ∂f/∂x and ∂f/∂y for f(x, y) = 3x² y + 4y³

Stokes theorem connects

Let A be a square matrix of order 3 x 3. If |A| = 4 , then value of |2A| =