Answer to Question #15067 in Trigonometry for Divina Daguplo

Question

A line AB along one bank of a stream is 562.0 ft. long,and C is a point on the opposite bank.The angle ABC is 48°36'.Find the width of the stream.

Answer 1

Let's find the height of a triangle ABC that is on AB:

H = AB*sin(ABC) = 562.0[ft]*sin(48°36') = 562.0[ft]*sin(48.6°) ≈& 421.6 [ft].

So, the width of a stream is approximately 421.6 ft.