From the top of a tower h m high, the angles of depression of two objects in line with the foot, on the same side, are α and β (α β). The distance between the objects is

Question

From the top of a tower h m high, the angles of depression of two objects in line with the foot, on the same side, are α and β (α > β). The distance between the objects is

Accepted Answer

h(cot β − cot α). The objects are h cot α and h cot β from the foot. The smaller angle β belongs to the farther object, so the gap is h(cot β − cot α).

From the top of a tower h m high, the angles of depression of two objects in line with the foot, on the same side, are α and β (α > β). The distance between the objects is

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