Need help with this trigonometry word problem
       
      
                
     
    
    
    
    
    2 answers:
            
              
              
                
                
The distance between the tree and the tower is 30√3m.
Justification:
<u>Let the situation be in a right angleABC form as shown in attached figure</u>.
<u>Given the height of the tower is 30m and the angle of depression to the base of the tree measure 30°</u>.
So, In ΔABC
tanθ = p/b
tan30° = 30/BC
1/√3 = 30/BC
BC = 30√3m.
 
                                
             
                    
              
              
                
                
Answer:
   30√3 m ≈ 52 m
Step-by-step explanation:
The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. The long leg of the triangle is √3 times 30 m, or about 51.96 m.
The distance between the tree and the tower is about 30√3 m ≈ 52 m.
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If you haven't memorized the ratios of this special triangle, you can use the relation ...
   Tan = Opposite/Adjacent
   tan(30°) = 30/d
   d = 30/tan(30°) = 30√3 = 51.96 . . . . same as above
 
                                
             
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ANSWER:
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Point Form:
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Equation Form:
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