Question

Geometry help for fan and medal PLEASE

Answer 1

can you help @calculusxy

Answer 2

I actually mixed my info up.

Okay. So the distance between moon and sun is the hypotenuse and side y is the adjacent side of angle x. We know that \(\cos\) does that because \(\large \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}\). We don't know what the hypotenuse is so we can leave that as z.

\(\cos(x) = \frac{y}{z}\)
assuming that the scientists already have the numerical values of x and y, we can do \(\cos(x)\) by evaluating it in the calculator. then we need to isolate z (because that's the hypotenuse) and solve for it.

Answer 3

the inverse of sine, cosine, and tangent (represented by \[\sin^{-1} , \cos^{-1} , \tan^{-1} \] are used to find the angle measurements with the given side lengths

Answer 4

i apologize for the mismatch

Answer 5

Im still confused I'm sorry

Answer 6

thats all i have so far

Answer 7

@Mehek14 @Directrix

Answer 8

@Directrix help?

Answer 9

Which distance is z on the diagram?

I see z in the equation you wrote but I do not see z on the diagram.

Answer 10

we used z for the hypotenuse

Answer 11

The scientist can use the known angle x and the known side y to set up a right triangle trig ratio to solve for z which is the distance between the sun and the moon.

cos x = y/z

Solving for z: z = y/cos x

The scientist can divide the distance between the Earth and the Sun by cosine of x to get the distance between the Moon and the Sun.

@dontknowdontcare

See if that makes sense to you.

Answer 12

I get that but would I have to solve it or just leave it at that

Answer 13

We can't solve it in the usual way because we have no numbers.

The question said to explain how (the process) the scientist could use to find z. The process has been explained.

Answer 14

Okay. Thank you!!!!

Answer 15

@Directrix would this be correct then??

Answer 16

That is the correct math but you did not write in sentences as the problem said to do.

Answer 17

Look up about 5 posts and you'll see that I wrote in sentences.

Answer 18

okay thank you SO SO SO MUCH