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To find the distance from observer's point A on one side of a river to a point P on the other side, a line AP' measuring 2,540 feet was laid out on one side and the angles P'AP and AP'P were measured and found to be 47degrees20' and 78degrees10', respectively. Find the distance from A to P.

Respuesta :

The distance from point A to point B is; 2294 ft

How to find distance from a reference point?

To solve this, let us first find the angle P.

We know that sum of angles in a triangle is 180°.

47° 20' = 47.33° and 78°10' = 78.17°

Thus;

∠P = 180° - (47.33° + 78.17°)

∠P = 54.5°

Using law of sines, we can get;

d/sin 47.33 = 2540/sin 54.5

where d is the distance from A to P.

Thus, solving gives us;

d = 2294 ft

Read more about distance at; https://brainly.com/question/4931057

Answer:

3,050 ft.

Step-by-step explanation:

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