A lighthouse is from a point on the shore

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

A lighthouse is

2\,\text{km}

from a point on the shore. Its rotating beam sweeps an arc of

1.5\,\text{km}

at that distance. Determine, in degrees, the angular displacement of the beam during this sweep. (a)

76^{\circ}

(b)

45^{\circ}

(c)

43^{\circ}

(d)

24^{\circ}