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Good afternoon, this test was 12 questions, I figured out the rest of them, but these 3 gave me problems... thanks for the help!! :)

 

 

Picture.... https://static.k12.com/nextgen_media/assets/8094424-NG_GMT_SemB_11_UT_06.png

2.What are the values of the trigonometric ratios for this triangle?

 

Drag the answer into the box to match each ratio.

sinθ

cosθ

tanθ

 

8/15

8/17

15/17

17/15

17/8

15/8

 

 

 

Picture...https://static.k12.com/nextgen_media/assets/8094404-NG_GMT_SemB_1_UT_07.png

3. What is the value of x in this triangle?

 

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

x = °

 

 

 

Picture...https://static.k12.com/nextgen_media/assets/8114736-NG_GMT_SemB_11_UT_DP100_1150_002.jpg

9.What is the area of this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

 cm²

 Apr 27, 2018
 #1
avatar+98091 
+1

First  one :

 

sin = opposite  / hypotenuse  = 8/17

cos  = adjacent / hypotenuse  = 15/17

tan  = opposite / adjacent  = 8/15

 

Second one :

Notice that we know an opposite and adjacent side to  angle "x"....this implies that

 

tan  x  =  opposite  / adjacent  =  5/20  = 1/4

 

To find  "x," use the tangent inverse   [atan ] 

 

So we have

 

atan (1/4)  = x  ≈  14.04°

 

 

 

Last one :

 

We know  2 sides and an included angle between these sides....so...we can use this to find the area :

 

Area  = (1/2) (8) (7) sin (28°)   ≈    13.2  cm ^2

 

 

 

cool cool cool

 Apr 27, 2018

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