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.