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You are 200 yards from a river. Rather than walking directly to the river, you walk 400 yards along a straight path to the rivers edge. Find the acute angle between path and the rivers edge

Respuesta :

Answer:

The acute angle would be 30 degrees.

Step-by-step explanation:

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The acute angle between the path and the rivers edge is; 30°.

We are told;

  • Direct distance from river = 200 yards

Now, you walk 400 yards to the rivers edge. This means that you walk at an angle from your current point to the rivers edge.

  • If the angle at your end point at the rivers edge is θ, then we can use trigonometric ratios to calculate the acute angle since the paths would form a triangle with the rivers edge.

Thus;

Sin θ = 200/400

sin θ = 0.5

θ = sin¯¹0.5

θ = 30°

The acute angle between the path and the rivers edge is 30°.

Read more about angle bearings at; https://brainly.com/question/22518031

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