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

sii1lver
Apr 27, 2018

#1**+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

CPhill
Apr 27, 2018