Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET2001MathematicsProperties of Triangles

The shadow of a tower standing on a level ground is found to be 60 ~m longer when the Sun's altitude is 30^ than when it is 45^ . The height of the tower is

Options

  1. A30 ~m
  2. B90 ~m
  3. C60 3 ~m
  4. D30( 3 +1) m

Correct answer

D. 30( 3 +1) m

Step-by-step solution

In B A C , array rlrl & & 30^ & = B A 60+x = h 60+x & 1 3 & = h 60+x & & 60+x & = 3 h Also, & & 45^ & = h x h=x array From Eqs. (i) and (ii), we get aligned & & 60+h & = 3 h & & h & = 60 3 -1 3 +1 3 +1 & & h & =30( 3 +1) aligned

Practice Properties of Triangles on Quantrex Academy →

More from Properties of Triangles

In A B C , if A, B, C are in arithmetic progression then a ^2- ac + c ^2 ( ~A - C 2 )= 2025If in A B C, B=45^ , a=2( 3 +1) and area of A B C is 6+2 3 sq.units, then the side b = 2025In triangle A B C , if C=120^ , c= 19 and b=3 , then a= 2025In a A B C, 2 A+C=300^ . If the circumradius of the A B C is eight times its inradius then C 2 = 2025In A B C , if a=5, b=4 and (A-B)= 31 32 , then c= 2025In a triangle ABC, if A =30^ and b ( 3 +1)^2+2( 2 -1) = c ( 3 +1)^2-2( 2 -1) , then B= 2025In ABC if the line joining the circumcentre and the incentre is parallel to BC, then B + C = 2025In a triangle ABC, if r ₁: r ₂=3: 4 and r ₂: r ₃=2: 3 , then a : b : c = 2025 Full Properties of Triangles list All AP EAMCET PYQs