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# Unit 4 Test, Questions 2,3, and 9

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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?

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?

cm²

Apr 27, 2018

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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

Apr 27, 2018