To find the distance from point A to point B, we can use trigonometry, specifically the tangent function. Let the distance from point A to the lighthouse be x, and the distance from point B to the lighthouse be y. The height of the lighthouse is 150 feet. From the information given, we can form two right triangles: one at point A and one at point B, both with the lighthouse as the vertical side, the distance to the lighthouse as the base, and the angle of elevation as the angle opposite the vertical side. From point A: \tan(12^\circ) = \frac{150}{x} From point B: \tan(21^\circ) = \frac{150}{y} We need to find the distance from point A to point B, which is x y. To solve for x and y, we can rewrite the equations as: x = \frac{150}{\tan(12^\circ)} y = \frac{150}{\tan(21^\circ)} Then, the total distance from point A to point B is: x y = \frac{150}{\tan(12^\circ)} \frac{150}{\tan(21^\circ)} Calculating the values: x ≈ \frac{150}{\tan(12^\circ)} ≈ \frac{150}{0.2126} ≈ 705.65 \text{ feet} y ≈ \frac{150}{\tan(21^\circ)} ≈ \frac{150}{0.3839} ≈ 390.60 \text{ feet} Therefore, the distance from point A to point B is: 705.65 390.60 ≈ 1096.25 \text{ feet} So, the distance from point A to point B is approximately 1096 feet.