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natka813 [3]
3 years ago
10

With the sun at an angle of 30 to the ground, a tree casts an 80 ft shadow. how tall is the tree

Mathematics
1 answer:
valentinak56 [21]3 years ago
5 0
Let tree's height = h

h/80 = tan 30
⇒ h = 80 tan 30
⇒ h = 80 * 1/√3
⇒ h = 46.19 ft
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musickatia [10]
The correct answer is:  [D]:  " \frac{5a + 7b}{3} " .
__________________________________________________
Explanation:
__________________________________________________
\frac{b(5a + 7b)}{b +2b} ; 

Simplify the "denominator" ;   →  (b + 2b = 1b + 2b = 3b) ; 

 and rewrite: 

\frac{b(5a + 7b)}{3b} ; 

Cancel out the "b" in the "numerator" to a "1" ; 
              and cancel the "3b" in the "denominator to a "3" ; 

{since:  "b ÷ b = 1 ";  and since:  "3b ÷ b = 3" } ;

and rewrite as:
____________________________________________________
            \frac{5a + 7b}{3} ; 
____________________________________________________

   →  which is:  Answer choice:  [D]:  "  \frac{5a + 7b}{3} " .
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