Question
Download Solution PDFTwo men on either side of a temple of 40 m height observe its top at the angles of elevation 30° and 30°, respectively. What is the distance between the two men in meters?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The angles of elevation = 30°
Temple of height = 40 m
Formula used:
tanθ = perpendicular / base
Calculation:
In triangle ADC
tan 30° = AC/DC
1/√ 3 = 40/DC
⇒ DC = 40√ 3
⇒ BC = DC = 40√ 3
⇒ DB = DC + CB
⇒ DB = 40√ 3 + 40√ 3 = 80√ 3 m
∴ Correct answer is 80√ 3 m.
Last updated on May 26, 2025
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