Tanα=h/x
h=xtanα, we are told that x=6.5ft and α=74° so
h=6.5tan74 ft
h≈22.67 ft  (to nearest hundredth of a foot)
        
             
        
        
        
Answer:
in this method a variable is expressed in terms of another variable from one equation and it is substituted in remaining equation. 
Step-by-step explanation:
solve:x+2y=9 and 3x-y=13. 
x+ 2y=9…be the first equation 
3x-y=13…be the second equation 
from first equation 
x=9-2y…be the third equation substituting value of x from third equation in second equation, we get 
3(9-2y)-y=13 
or, 27-6y-y=13
or, y=2
now, 
substituting value of y in third equation, we get, 
x=9-2×2
=9-4
=5
the required value of x and y are 5&2
 
        
             
        
        
        
Answer: 
 9? 
Step-by-step explanation:
 
        
                    
             
        
        
        
Consider the triangles formed by the lines of sight in parts a and b. In part a, the distance from the horizontal to the base of the antenna is 82.0*tan31.0º; in part b, the distance from the horizontal to the top is 82.0*tan34.2º. The antenna height is the difference between these 
<span>h = 82.0*tan34.2º - 82.0*tan31.0º = 82.0*(tan34.2º - tan31.0º) = 6.46 m</span>