1. **State the problem:** From a point 12 feet from the base of a building, the angle of elevation to the top of the building is 70°. We need to find the height of the building. 2. **Identify the right triangle and trigonometric function:** We have a right triangle where: - The angle of elevation is $70^\circ$. - The adjacent side to this angle (distance from the building) is 12 feet. - The opposite side is the height of the building, which we want to find. 3. **Use the tangent function:** Tangent relates the opposite side to the adjacent side: $$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$ Here, $\theta = 70^\circ$, opposite = height $h$, adjacent = 12. 4. **Set up the equation:** $$\tan(70^\circ) = \frac{h}{12}$$ 5. **Solve for $h$:** Multiply both sides by 12: $$h = 12 \times \tan(70^\circ)$$ 6. **Calculate $\tan(70^\circ)$:** Using a calculator, $\tan(70^\circ) \approx 2.747$. 7. **Find the height:** $$h = 12 \times 2.747 = 32.964$$ 8. **Conclusion:** The height of the building is approximately 33 feet.