Answer:
Height of the building = 115.4 ft.
Step-by-step explanation:
Height of building = AB + 46.4 + CD + 30.5
By applying Pythagoras theorem in ΔABP,
(26)² = (10)²+ (AB)²
676 - 100 = AB²
AB² = 576
AB = 24 ft
By applying sine rule in ΔCDE,
cos(60°) = 
CD = CE × 
CD = 
CD = 14.5 ft
Total Height = 24 + 46.4 + 14.5 + 30.5 
                      = 115.4 ft
 
        
             
        
        
        
Answer:   Width of box is not taken up by pencils =  
Width of each pencil 
Step-by-step explanation:
Given: Width of pencil box = 
Width of seven pencils = 
Width of box is not taken up by pencils =  Width of pencil box  - Width of seven pencils

Width of box is not taken up by pencils =  
Width of each pencil = (Width of seven pencils ) ÷ 7

Width of each pencil 
 
        
                    
             
        
        
        
You can use the trigonometric identity  

.

The requirement that 

 eliminates -1/6 from being another solution.
 
        
        
        
Answer:  $122.50
<u>Step-by-step explanation:</u>
In          Out
8:00    12:00    = 4 hours
12:45    17:30   =<u> 4.75 hours   </u>
           Total        8.75 hours
8.75 hours x $14/hr = $122.50
Note: to subtract 12:45 from 17:30, borrow 1 hour from 17 and add 60 minutes to 30:
  17:30       →         16:90
- 12:45                -<u> 12:45 </u>
                             4: 45
4 hours 45 minutes =  = 4.75 hours
 = 4.75 hours