Question
From a point 'P' on level ground, the angle of elevation to
the top of a tower 60 metres tall is 45⁰. Calculate the shortest distance from point 'P' to the top of the tower.Solution
ATQ,
Let AB be the height of tower and AP be the shortest distance between points 'A' and 'P'.
In ΔABP,
sin 45° = (AB / AP)
(1/√2) = (60 / AP)
Or, AP = 60√2
Therefore, shortest distance between points 'A' and 'P' is 60√2 metres.
More Difficult level Section Tests Questions
- Ravi sold 80 notebooks and made a profit equal to the cost price of 5 notebooks. What is the percentage of profit he made?
A product is bought for Rs. 1,800. The shopkeeper tags it at 25% above the cost price and offers a discount of Rs. 200 at the time of sale. What is the ...
- A number '71945b' is divisible by 6, but not by 5. What is the value of (b² + 1)?
- Calculate the lateral surface area of a right circular cone whose diameter is 14 cm and vertical height is 10 cm.
- Calculate the area of the triangle enclosed by the line 3x+6y=18, the x-axis, and the y-axis.
- Sneha deposited Rs. 18000 at a simple interest rate of 10% per annum, whereas Riya deposited Rs. 17500 at compound interest of 9% per annum, compounded ann...
- Ramesh builds 30 chairs in 6 days while Suresh builds 24 chairs in 4 days. How many chairs can both Ramesh and Suresh build in one day together?
- Two workers, A and B, can finish a task in 36 days and 48 days respectively, working alone. How many days will they take to complete the work together?
- A trader purchases a product for Rs. 250 and earns a profit of 45%. Calculate the selling price of the product.
- The cost price of a product is Rs. 400. The shopkeeper marks it 25% above the cost price and then offers a discount of 10%. Calculate the overall gain or l...
Relevant for Exams:
