A particle is projected over a triangle from one end of a horizontal base and

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A particle is projected over a triangle from one end of a horizontal base and, after grazing the vertex, falls at the other end of the base. If

\alpha

and

\beta

are the base angles and

\theta

is the angle of projection, prove that

\tan\theta=\tan\alpha+\tan\beta