Answer:
1.3
Friend is wrong
Step-by-step explanation:
Given:
friend's claim: height of his building is more than 1.50 times the height of yours
line of sight to the top edge of the other building makes an angle of 21° above the horizontal
line of sight to the base of the other building makes an angle of 52° below the horizontal
Solution:
Let A be the height of your building is A
Let B+A his building is B higher than yours. 
Let the distance between the buildings is x.  
then 
tan 52 = A/x
tan 21 = B/x  
A/B = tan 52 / tan 21
       =  1.27994 / 0.38386
A/B = 3.33
(A + B) / A = 1.5
0
A/A + B/A = 1.50
1 + B/A = 1.50
B/A is basically (B/x) / (A/x) 
So 
1+ 3.33 / 3.33 
= 4.33/3.33
= 1.3
Since 1.3 is not equal to 1.5 
Hence the friend's claim is wrong.