Question
A tree of height 'h' meters is partially bent at a
certain point above the ground, causing its top to touch the ground at a distance of 12 meters from its base. The bent portion forms a 45° angle with the ground. Determine the value of 'h'.Solution
Let the point from which the tree was bent be 'A'.In right triangle ABC, we havetan 45o = (AB/BC)So, AB = BC = 12 metresUsing Pythagoras theorem,AC2 = AB2 + BC2Or, AC2 = 122 + 122 = 144 + 144 = 288Or, AC = 12√2 metres (Since, height cannot be negative therefore, we will take positive root only)Length of the tree = h = (12√2 + 12) metres
What is the minimum age prescribed to apply for PM Vishwakarma Yojana?
How much money was raised by Ghaziabad through India's first certified Green Municipal Bond?
Who inaugurated the first 'Global Symposium on Farmers' Rights' (GSFR) at the ICAR Convention Centre in New Delhi?
Who wrote the state and traditional song of Assam, titled "O Mur Apunar Dekh"?
From which date did key provisions of the Banking Laws (Amendment) Act, 2025, come into force?
Which country signed MoUs with India in the fields of Health and Agriculture during the talks held with President Droupadi Murmu?
The INSPIRE Scheme is a flagship initiative of which organization?
Mobile application 'Rajmargyatra' has been launched by whom?
World Hindi Day is observed on which date?
Youth policy of Uttarakhand was established in which year?
