Question

A ship has to cross a sea by making an angle of 30° and with a distance of 200 meters to reach the shore then find the width of the sea.

(a) 300 meters

(b) 100 meters

(c) 110 meters

(d) 50 meters

I got this question in an internship interview.

My enquiry is from Trigonometry Application in division Trigonometry Application of Mathematics – Class 10

Answer 1

Correct answer is (b) 100 meters

Explanation: The width of the river is BC in the figure.

sin 30° = \(\frac {BC}{AC}\)

\( \frac {1}{2} = \frac {BC}{200}\)

BC = 100 meters