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A 30-60-90 Right Triangle Word Problem Step 1: Make sure the triangle is a 30-60-90 right triangle. Step 2: Use the special relationships of the sides to identify the missing length. Step 3: Write the units. Step 1: We're given 30°, and can assume that when the problem says “west” that it's directly west. Therefore we can assume that angle is 90°. That means the last angle is 60°. Step 2: Using the relationships of the sides of a 30-60-90 triangle, you can easily find the missing length. Short leg = 46 miles If the short leg is length x, then the hypotenuse is 2x, and the longer side is x Hypotenuse/Distance = 2 (46) Hypotenuse/Distance = 92 miles 3

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