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?
Answer & explanation
Correct answer: option 3
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