1. **Problem:** A building casts a shadow of 110 feet. The angle of elevation of the top of the building from the tip of the shadow is 29°. Find the height of the building. 2. **Formula and rules:** We use the tangent function in right triangle trigonometry: $$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$ where $\theta$ is the angle of elevation, the opposite side is the height of the building $h$, and the adjacent side is the length of the shadow (110 feet). 3. **Set up the equation:** $$\tan(29^\circ) = \frac{h}{110}$$ 4. **Solve for $h$:** $$h = 110 \times \tan(29^\circ)$$ 5. **Calculate the value:** Using a calculator, $$\tan(29^\circ) \approx 0.5543$$ So, $$h = 110 \times 0.5543 = 60.973$$ 6. **Answer:** The height of the building is approximately **60.97 feet**.