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
+1 vote
628 views
in Trigonometry by (34.5k points)
closed by

From a ship mast head 150 m high the angle of depression of a boat is observed to be 60° its distance from the ship is …… 

A) 75.5 m 

B) 86.55 m 

C) 92.55 m 

D) 120.5 m

2 Answers

+1 vote
by (66.4k points)
selected by
 
Best answer

Correct option is: B) 86.55 m

Given that

The height of the ship mast head is BC = 150 m.

Angle of depression is  \(\angle\)CAB = \(60^\circ\)

In right  \(\triangle\)ABC,

tan A = \(\frac {BC}{AB}\)

= AB = \(\frac {BC}{tan \, A}\) = \(\frac {BC}{tan \,60^\circ}\) (\(\because\)  \(\angle\)CAB = \(60^\circ\))

\(\frac {150}{\sqrt3} = 50\sqrt3 m\) (\(\because\) BC = 150 m)

= 50 \(\times\) 1.732 (\(\because\) \(\sqrt3\) = 1.732)

= 86.6 m

\(\approx\) 86.55 m

Hence, the distance of boat from the ship is 86.55 m.

+2 votes
by (35.6k points)

Correct option is: B) 86.55 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.

Categories

...