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 QUESTION 1.

 

Joshua wants to draw ◢ ABC such that the conditions shown are true.

·         The area of ◢ ABC is not 30 square units.

·         Tan A = 2.4 =? / ?  

      Draw one possible ◢ ABC below. Label the vertices of the triangle and the side lengths.  Show work verifying area and tan meeting the above criteria.

 Show work as part of answer.  You have to draw and label the triangle above

 

 

 

 

Question 2.

.Katie’s is building a barn, as shown.  She wants the roof height to be between 4 and 6 feet.  She must decide the angle measure to use for the pitch, or slant, of the roof when the slant height is y feet.  Write an inequality Katie can use to ensure that her roof will be within the necessary height range.

 Apr 15, 2019
edited by lordhelix  Apr 15, 2019
edited by lordhelix  Apr 15, 2019
 #1
avatar+105488 
+3

Question 1

 

Here you go.....

 

We have right triangle ABC

Tan A  = 4.8 / 2  = 2.4

Area  =  = product of legs / 2   =  (4.8)(2) / 2  =  4.8  units^2 

 

 

cool cool cool

 Apr 15, 2019
 #2
avatar+105488 
+3

Question 2

 

4 feet

 

tan x  =  4/20

 

arctan (4/20) ≈  11.3°

 

 

6 feet

 

 

tan x  = (6/20)

 

arctan (6/20)  ≈  16.7°

 

 

11.3° ≤ x ≤ 16.7°

 

 

cool coolcool

 Apr 15, 2019
 #3
avatar+26 
0

what would be the 2nd part of the fraction of 

 

11.3 and 16.7

lordhelix  Apr 16, 2019

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