Archive
14th of September 2015
Mathematics
Q:

In a quadrilateral PQRS, anglePQR=90deg., angle SPQ=90deg..If QR=5m.,PR=13cm.,PS=14cm,then find value of tan x [x=angle PSR]

Riya Gupta - CBSE - Class X

Monday, September 14, 2015 at 18:29:PM

A:

The quadrilateral is a trapezium as shown above.

From PQR right angled triangle, we get PQ = 12 using pythagoras theorem.

A perpendicular is drawn from R to PS. The length of this perpendicular is equal to PQ= 12

The right angled triangle containing angle X, has base 14 - 5 = 9 

Hence tanx = perpendicular / base = 12 / 9 = 4 / 3

Monday, September 14, 2015 at 19:04:PM