Question
There are two houses of the same height on both sides of
a 30-meter wide road. From a point on the road, elevation angles of the houses are 30° and 60° respectively. Find the height of the houses.Solution
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, (30 - x) is the distance between the point on the road from the house making an elevation angle 30°, here DE = (30 - x) meter. Now, tan 60° = AB/BE ⇒ √3 = y/x ⇒ x = y/√3 ...(i) Also, tan 30° = CD/DE ⇒ 1/√3 = y/(30 - x) ⇒ √3y = 30 - x ⇒ √3y = 30 - y/√3 [from equation i] ⇒ 3y = 30√3 - y ⇒ 4y = 30√3 ⇒ y = 30√3/4 ≈ 12.9 meter
The Two day Smart Urban Farming Expo has been recently inaugurated in ?
Which of the following lists comprises the areas explicitly recognised by these awards (SCOPE Eminence Awards)?
In which of the following states is the Bhitarkanika National Park situated?
When will Suresh Goyal officially take charge as Director General of the National Council of Applied Economic Research (NCAER)?
Consider the following statements about the Indian-French TRISHNA Satellite:
1. TRISHNA is a collaboration between ISRO and CNES.
2. The s...
- Under which larger initiative is Dharti Aaba TribePreneurs 2025 being launched?
Which Indian state had the highest annual growth rate in milk production during 2022-23, according to the Basic Animal Husbandry Statistics 2023?
What name has ISRO given to the rover sent with Chandrayaan-3 mission?
Who has recently taken oath as the First Woman Minister of Nagaland?
- The Green Transition Alliance India (GTAI) is a continuation of which previous Denmark-India partnerships?
Relevant for Exams:
