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A camper wants to know the width of a river. From point A, he walks downstream 120 feet to point B and sights a canoe across the river. It is determined that = 24°. About how wide is the river?

Respuesta :

Answer:

53 feet   (to the nearest foot).

Step-by-step explanation:

This forms a right angled triangle with the adjacent side to the 24 degrees angle  and  the opposite side = width of the river.

So we have tan 24 = opposite side / adjacent side.

tan 24 = x / 120 where x = the width of the river.

x = 120 tan 24

x =  53.4 feet.
53 feet to the nearest

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