Question
The shadow of a tower standing on level ground is found
to be 40 m longer when the Sun's altitude is 30° than when it was 45°. Find the height (in meters) of the tower.Solution
Let AB be the tower, BC be the shadow at 45°, and BD be the shadow at 30°. The shadow of a tower standing on a level ground is found to be 40 m longer when the sun's altitude is 30° than when it is 45°. i.e. CD = 40 m Let BC = x m In triangle ABC, we have Tan45 =AB/BC AB =x.      … (1) In triangle ABD, We have. Tan 30 =AB/BD 1/ √ 3 =AB/x+40 √ 3AB =x+40 X =√ 3AB-40 … (2) x = √ 3x-40 x=40/ (√ 3-1)  we multiply the numerator and denominator by the conjugate of the denominator: x=20 (√ 3+1). 
In which year was the poetry collection 'Jitne Log Utne Prem' by Leeladhar Jagudi, for which he received the Vyas Samman in 2018, published?
What is the name of the Indian Navy’s nuclear-powered submarine?
Which app recently launched by NSE provides real-time market updates and supports eleven regional languages?
Where did the Wings India 2024 event hold in January 2024?
Which technology is utilized in the solar power plants commissioned by the Indian Navy?
In which district of Rajasthan was the first Science Centre under the Aspirational Districts initiative inaugurated in 2025?
How many athletes represented India in the 2024 Paris Olympics?
Consider the following statements regarding the Consumer Price Index (CPI):
1.CPI is prepared by the Office of Economic Advisor under the Ministr...
In which type of demonstration that was used in the Non-cooperation Movement, people block the entrance to a shop, factory or office?
Which country will host the G20 Parliament Speakers Summit?
