SSC CPO 2019 PYQ — Question 109

SSC CPO Tier I - 9th December 2019 - Shift 1 • Quantitative Aptitude • Q109

A clock tower stands at the crossing of two roads which points in north-southand the east west direction P, Q, R and S are points on the road due north, east, south and west respectively, where the angles of elevation of the top of the tower are respectively α, β, ϒ and δ, then is equal to ?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3  i.e. 

Understanding

Application

 PO = h cot α

 QO = h cot β

 PQ = h(cot α + cot β)

 Similarly,

 RS = h(cot ϒ + cot δ)

 Hence,