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To indirectly measure the distance across a river, Kiran stands on one side of the river and uses sight-lines to a landmark on the opposite bank. Kiran draws the diagram below to show the lengths and angles that he measured. Find PR, the distance across the river. Round your answer to the nearest foot.

To indirectly measure the distance across a river Kiran stands on one side of the river and uses sightlines to a landmark on the opposite bank Kiran draws the d class=

Respuesta :

Okay, here we have this:

Considering the provided information and figure, we are going to calculate the requested measure, so we obtain the following:

We can see that the two triangles are similar because they have the same angles, so from this we have:

PR/RE=PO/OC

PR/195=(PR+160)/305

PR*305=(PR+160)195

305PR=195PR+31200

305PR-195PR=31200

110PR=31200

PR=31200/110

PR=3120/11

PR≈294 ft

Finally we obtain that PR, the distance across the river is approximately 294 ft.

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