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Find the value of x (rounded to the nearest tenth as needed).

Find the value of x (rounded to the nearest tenth as needed).-example-1

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Answer:

x = 367.1m

Explanation:

Use the SohCahToa trigonometry ratios because this is a right triangle.

First, we need an interior angle of reference for the triangle. Because you know that angle labelled 37°, we can use alternating angles to find an interior angle. Alternating angles create a "Z" pattern where the two angles are equal. In this triangle, the missing angle on the left is 37° also.

According to SohCahToa, we will use the sinθ ratio (opposite/hypotenuse).

sinθ = opposite/hypotenuse Substitute values from the diagram

sin37° = x/610yd Isolate 'x'. Multiply both sides by 610 yd

x = (610yd)(sin37°) Multiply

x = 367.107...m Unrounded answer

x ≈ 367.1m Answer rounded to the nearest tenth

Therefore x is 367.1 meters.

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