In triangle FGH, g = 8ft, h=13ft, and m=F= 72degrees. Find m<G round to nearest tenth

a- 26.2

b- 33.9

c- 72.1

d- 32.5

my answer is b

None of the answers given are correct

by the cosine law:
f^2 = 8^2 + 13^2 - 2(8)(13)cos72°
= 168.724...
f = 12.989398...

by sine law:
sinG/8 = sin72/12.989...
sinG = .58574...
G = 35.86° correct to 2 decimals

With modern calculators, there is no reason to round off intermediate answers.
You store those answers in the given memories of the calculator, and only round off the final answers

This is a very messed up comment above. If you are in connections, Reiny has the correct answer. It is 35.9 degrees for the test. That is the correct answer, I listened to EZ Clap and got the incorrect answer. Listen to Reiny!

never trust an Ez Clap...

It’s actually is C did the test and got b wrong

I don't know for y'all, but my answer was D. It had a 3 and a 4 in it. That's all I know

To find the measure of angle G in triangle FGH, we can use the Law of Sines. The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of the opposite angle is constant.

In this case, we can use the Law of Sines with sides g = 8ft, h = 13ft, and angle F = 72 degrees.

First, let's rearrange the formula to solve for the sine of angle G:

sin(G) = (g / sin(F)) * sin(G)

Now we can plug in the values:

sin(G) = (8 / sin(72)) * sin(G)

To solve for sin(G), we'll divide both sides by (8 / sin(72)):

sin(G) / (8 / sin(72)) = sin(G)

Since sin(72) is a constant value, we can simplify the equation:

sin(G) / 8 = sin(G)

To find the value of sin(G), we can multiply both sides by 8:

sin(G) = 8 * sin(G)

Finally, divide both sides by sin(G):

1 = 8

This equation is not possible because it implies that 1 is equal to 8, which is not true. Therefore, there is no valid solution for angle G using the given information.

Thus, none of the answer choices (a, b, c, or d) are correct.

is anon right or not

Do not quote me on these answers, as they may have changed for you:

1. C
2. C
3. D
4. B
5. A
6. C
7. C
8. B
9. A
10. D
11. A
12. B
13. D
14. B
15. C
16. Written (sry)
17. Written (sry)

I dont know WHO this Reiny is. THe answer is actually C