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.
- Out of 450 students in a school, 48% are boys. Among the boys and girls, 25% and 30% respectively like drawing. What is the total number of students who do...
The marked price of an article is ₹10,927. Due festive season, a certain percentage of discount is declared. Raju buys an article at reduced price and...
Ravi allocated 60% of his income to expenses in May. In June, his savings increased by 20%, amounting to Rs. 5760. Calculate Ravi's total income for the...
Manmeet decided to donate 20% of her salary to an NGO. On the day of donation she changed her mind and donated Rs. 13520 which was 80% of what she decid...
A student multiplied a number by 4/5 instead of 5/4. What is the percentage error in the calculation?
Hari scored 70 marks in English. He scored 64% marks in Hindi and X marks in Maths. The maximum marks for each subject is 175. The overall percentage of...
Monthly savings of X is 50% of his monthly income which is Rs. 9000. If ratio of monthly expenditure of Y and X is 15:8 respectively and monthly savings...
A girl found the answer for the question “subtract the sum 1/2 and 1/8 from unity and express the answer in decimals” as 1.5. The percentage...
A Sales Executive gets a commission on total sales at 6%. If the sale is exceeded Rs.18,000 he gets an additional commission as a bonus of 3% on the exc...
Out of 400 students in school, 40% students like samosa only and 20% students like samosa and momos both. If 30% students don’t like any snacks then f...