Question
A person from the top of a hill observes a vehicle
moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45° to 60°. After this the time required by the vehicle to reach the bottom of the hill isSolution
[tan 45° = 1] [tan Q = P/B] [tan 60° = √3 / 1] = (√3 – 1) = 10 min = 1 → (10 / √3 – 1) = (10 / √3 – 1) × (√3 + 1) / (√3 + 1) = (10(√3 + 1)) / 2 = 5(√3 + 1) = 5√3 + 5 = 5 × 1.732 + 5 = 8.66 + 5 => 13.66 = 13 min 40sec Ans
A man invests ₹30,000 in a scheme offering compound interest at 15% per annum, compounded half-yearly. Another man invests ₹35,000 in a scheme offer...
Find the compound amount and compound interest on Rs 10,000 at 10% per annum for 2 years, compounded annually.
The compound interest on a sum of money for 3 years is 7,280. The sum amounts to 17,280 in 3 years. What is the rate of interest compounded annually?
Find the compound interest on ₹8000 at 10% p.a. compounded annually for 2 years.
Amit deposited Rs. 15,000 into an investment with a 12% annual compound interest rate for a duration of two years. Calculate the total interest earned b...
A property dealer bought a rectangular plot in Noida five years ago at the rate of Rs. 1000 thousand per square meter, the cost of plot increases by 5% ...
A person invests ₹20,000 in a scheme that offers 8% compound interest annually. How much will the investment grow to after 3 years?
Michael has read 3/4 of a book, while Anna has read only 2/3 of the book she is reading. Both, however, have another 90 pages of their respective books...
