1. **Stating the problem:** We have a triangle with side AB length 90 feet, angle A = 60°, angle B = 30°, and the right angle opposite side AB. We want to find the distance $i$ feet along the street opposite AB. 2. **Analyzing the triangle:** The triangle is right-angled with hypotenuse AB = 90 feet. Since the right angle is opposite to AB, AB is the hypotenuse. 3. **Using angle definitions:** Angle A = 60° and angle B = 30°. The side opposite angle A (which is side opposite the 60° angle) we'll call $i$ feet. 4. **Using sine function:** For angle A, $ \sin 60° = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{i}{90}.$ 5. **Calculate $i$:** $$i = 90 \times \sin 60° = 90 \times \frac{\sqrt{3}}{2} = 45 \sqrt{3}.$$ 6. **Final answer:** $$i = 45 \sqrt{3} \approx 77.94 \text{ feet}.$$