The angle of depression of a ball from the eye of a man, whose height 5 feet 10 inch m is 30°.  Find the distance from the foot of the man to the ball?

295.9 cm 304.9 cm 307.9 cm 317 cm

307.9 cm

1 feet = 12 inch 5 feet = 60 inch 1 inch = 2.54 cm 5 Feet 10 inch = 70 inch = 70 × 2.54 = 177.8 cm. Now, tan 30° = \(\frac{AC}{BC}\) \(\frac{1}{\sqrt {3}}\) = \(\frac{177.8}{BC}\) BC = 177.8 \(\sqrt {3}\) BC = 177.8 × 1.732 BC = 307.9 m