Acamper wants to know the width of a river. from point a, he walks downstream 60 feet to point b and sights a canoe across the river. it is determined that = 34°. about how wide is the river?
a. 34 feet
b. 50 feet
c. 89 feet
d. 40 feet

The answer is:

The correct option is:

D. 40 feet.

To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:

Where,

alpha is the given angle, 34°

Adjacent is the distance from A to B, which is equal to 60 feet.

Opposite is the distance from A to C which is also equal to the width of the river.

So, substituting and calculating we have:

Hence, we have that the correct option is:

D. 40 feet.

Have a nice day!

OPTION D

Step-by-tep explanation:

Observe the figure attached.

You can notice that the the width of the river is represented with "x".

To calculate it you need to use this identity:

In this case:

Now you must substitute values:

And solve for "x":

≈

here is the

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