Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
26.8k views
in Height and Distance by (35.3k points)
closed by

From the top of hill which is 200 m high the angle of depression of the top and the bottom of a pole are 300 and 60° respectively. Find the height of pole and its distance from the hill.

1 Answer

+1 vote
by (34.1k points)
selected by
 
Best answer

Let CE is a pole of height h meter. AD is a hill of height 200 m. 

Let distance between bottom of hill to pole = x m.

According to question 

∠XAC= 30° = ∠ACB and ∠XAE = 60° = ∠AED

From right angled ∆ADE

tan 60° = AD/DE

⇒ √81 = 200/x

⇒ x = 200/√3 m

From right angled ∆ABC,

Hence, height of pole = 133.33 m.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...