From the top of a tower 100 m high, the angles of depression to two objects on the ground are 30° and 45°. If the objects are on opposite sides of the tower, what is the distance between them?
Q1. From the top of a tower 100 m high, the angles of depression to two objects on the ground are 30° and 45°. If the objects are on opposite sides of the tower, what is the distance between them?
Answer: 100(1 + √3) m
Explanation: Using the tangent function for both angles of depression, we calculate the distances from the tower to each object. The sum of these distances gives the total distance between the objects, applying trigonometric ratios for right-angled triangles.