Question
From a point located x meters away from the base of a
tree, the angle of elevation to the top of the tree is 60 ∘ . If the tree is 54 meters tall, determine the distance x from the point to the base of the tree.Solution
/1734408546-rrbntpc-quant-mt-25-ques-image-1-solution.png)
In the given figure, let points 'A' and 'B' represent the top of the tree and the base of the tree, respectively and let 'C' represents the point on the ground that is 'x' metres away from the base of the tree (BC = x). In right triangle ABC tan 60o = (AB/x) Or, (54/x) = √3 So, x = 54 ÷ √3 = 18√3 metres
Two vessels, A and B, contain mixtures of milk and water in the ratios 11:9 and 13:37, respectively. The quantities of mixtures in A and B are in the ra...
In a garage, 80% of the vehicles are two-wheelers and the remaining are four-wheelers. Find the ratio of the number of wheels of two-wheelers to that of...
If the SP of book is 5 times of the discount. If percentage discount and percentage profit is equal. Then find the ratio of discount and CP?
The ratio of time period of investment of P to Q is 2:3, and the ratio of profit shares of Q to P is 15:8. Find the ratio of investment of P and Q respe...
- In a box, ₹5, ₹2 and ₹1 coins are present in the ratio 2:3:5. If the total value of coins is ₹609, then how many ₹1 coins are there?
Two boxes have chocolates in the ratio 7:5. If the difference in the number of chocolates is 28, find the number of chocolates in the box with larger nu...
The radii of two solid right circular cylinders are 6 cm and 4 cm respectively and their heights are (h+1) cm and (2h+1) cm respectively. If the areas o...
- A total amount of ₹24,750 is divided among ‘M’, ‘N’, ‘O’, and ‘P’ in the ratio of 4:7:5:6. What is the share of ‘N’?
The ratio of the monthly incomes of A and B is 11: 13 and the ratio of their expenditures is 9: 11. If both of them manage to save ₹4,000 per month, t...
- Find the third proportion of 15.2 and 19.
Relevant for Exams:
