contestada

points g e and h are located along the edge of a river and point f is on the opposite edge use triangle fge and triangle fhe to determine which of the following are possible widths of the river

Respuesta :

The width of the river, given by the segment [tex]\overline{fe}[/tex],  is the

altitude of the Δfgh.

Correct response:

  • The possible width of the river is; 30 yards

How can the width of the be determined?

A possible diagram showing the situation is attached.

From the diagram, we have;

∠g = 90° - 48° = 42°

The width of the river = [tex]\overline{ef}[/tex]

Using the law of sines, we have;

[tex]\mathbf{\dfrac{\overline{ef}}{sin(42^{\circ})}} = \dfrac{39}{sin(48^{\circ})}[/tex]

Therefore;

[tex]The \ width \ of \ the \ river, \ \overline{ef} = sin(42^{\circ}) \times \dfrac{39}{sin(48^{\circ})} \approx \mathbf{ 35.12}[/tex]

T

he options are; 30yd, 32 yd, 35 yd, 37 yd, 39 yd, 40 yd, and 50 yd.

  • The possible width of the river from the options is 32 yd.

Learn more about the laws of sines here:

https://brainly.com/question/16555495

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