Get Started with ixamBee
Start learning 50% faster. Sign in now
Let y be the height of the houses, here AB = CD = y meter. Let x be the distance between the point on the road and the house making an elevation angle of 60°, here BE = x meter. Then, (15 - x) is the distance between the point on the road from the house making an elevation angle 30°, here DE = (15 - x) meter. Now, tan 60° = AB/BE ⇒ √3 = y/x ⇒ x = y/√3 ...(i) Also, tan 30° = CD/DE ⇒ 1/√3 = y/(15 - x) ⇒ √3y = 15 - x ⇒ √3y = 15 - y/√3 [from equation i] ⇒ 3y = 15√3 - y ⇒ 4y = 15√3 ⇒ y = 15√3/4 ≈ 6.5 meter
In a competitive examination containing 200 questions, 2 marks are awarded for every correct answer and 1 mark gets deducted for every wrong answer. If ...
The population of a city is decreased by 12% in the first year and then increased by 25% in the second year. Find the population of the city at the end...
If 35% of 40% of 7/5 of a number is 490, then what is 25% of 2/3 of that number?
A candidate who gets 22% marks fails by 10 marks but another candidate who gets 40% marks gets 14% more than the passing marks. Find the maximum marks.
Out of 700 people in a club, 15% speak Russian and the rest speak Ukrainian. If out of non-Russian speakers, 60% are males and out of Russian speakers 8...
A and B together have total of Rs.6000 out of which they donated 20% to the orphanage school. The remaining amount is to be then redistributed between t...
Monthly savings of ‘A’ is Rs. 500 more than his monthly expenditure and his total monthly income is Rs. 5900. If his monthly income is increased by ...
A man spends 20% and 22% of his monthly salary on rent and transportation, respectively. Out of the remaining money, he spends 34% on food and 49% on en...
In a test, P got 30% of total marks and failed by 30 marks while Q got 40% of total marks which is 22 more than passing marks. Find the total marks of t...
