• 072920 77839
  • info@smartachievers.in
Menu
Back
  • JEE ADVANCE
  • JEE MAIN
  • NEET
  • BITSAT
  • CBSE BOARD
  • UP BOARD
  • CUET
JEE ADVANCE
  • CLASS XI - XII
  • CRASH COURSE
CRASH COURSE
JEE MAIN
  • CLASS XI - XII
  • CRASH COURSE
CRASH COURSE
NEET
  • CLASS XI - XII
  • CRASH COURSE
BITSAT
  • CLASS XI - XII
CBSE BOARD
  • CLASS IX
  • CLASS X
  • CLASS XI
  • CLASS XII
  • CLASS VI
  • CLASS VII
  • CLASS VIII
UP BOARD
  • CLASS IX
  • CLASS X
  • CLASS XI
  • CLASS XII
CUET
  • CRASH COURSE
Courses


Solution


Q.

Assertion (A): The angle of elevation of top of a tower of height 203m from a point on the ground, which is 60 metres away from the foot of the tower, is 30°.

Reason (R): In a right triangle, h2=p2+b2, where h is hypotenuse, p is perpendicular (opposite side) and b is base (adjacent side) with respect to an acute angle.
1 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)  
2 Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A)  
3 Assertion (A) is true but reason (R) is false  
4 Assertion (A) is false but reason (R) is true.  

Ans.

(2)

Let AB be the tower and C be a point on the ground.

Here, AB=203m and BC=60mIn∆ABC,we have:tan ∠C=ABBC=20360=13⇒tan ∠C=tan30°⇒∠C=30°

Hence, Assertion (A) is true.


Also, Reason (R) is true, as it states the Pythagoras theorem.
But it does not explain Assertion (A).