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Question

A biologist wants to know the width w of a river in order to properly set instruments for studying the pollutants in the water. From point A, the biologist walks upstream 100 feet and sights to point C. From this sighting, it is determined that 𝜃 = 49° (see figure). How wide is the river? Verify your result numerically. (Round your answer to one decimal place.)

hyp: un-labeled

opp: w (trying to solve)

adj: 100ft

theta:49

thankss

Answer 1

I think the situation is clear because w is opposite and 100 is adjacent. So tan 49° = w/100, w = 100*1.1504 = 115.0 ft.