SSC CGL 2016 PYQ — Question 7

SSC CGL Tier II Quant - 30/11/2016 • Quantitative Aptitude • Q7

The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be α and β (α>β). The height of the tower is h unit. A possible distance (in the same unit) between the points is

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4

AB = h cotα

BC = h cotβ

AC = AB+ BC  = h(cotα + cotβ)