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- Unofficialllyy

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- Unofficialllyy

The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:
A scientist measures the angle x and the distance y between the Earth and the moon. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the Earth and the Sun.

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- Unofficialllyy

@10115658

- anonymous

is the earth to sun side adjacent, opposite or the hypotenuse in relation to the angle?

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## More answers

- Unofficialllyy

Adjacenet?

- anonymous

correct

- anonymous

what is the side y?

- Unofficialllyy

Opposite

- anonymous

thats right

- anonymous

so do we use sin, cos or tan?

- Unofficialllyy

Tangent

- anonymous

good job

- anonymous

so how would you find the adjacent side knowing the angle and the opposite side?

- Unofficialllyy

I'm not sure :(

- anonymous

ok so our equation looks like this so far

- anonymous

tan(x) = y/adj

- anonymous

how would we get adj by itself?

- Unofficialllyy

Multiply?

- anonymous

show me the steps

- Unofficialllyy

I'm not really sure how to though

- Unofficialllyy

I know I learned this I just can't remember.

- anonymous

ok

- anonymous

This will take 2 steps

- anonymous

first you could multiply both sides by adj

- Unofficialllyy

Right.

- anonymous

(tan(x))(adj) = y

- anonymous

what do you think the last step is?

- anonymous

think of the left side as tanx times adj

- anonymous

what is the opposite of multiplication?

- Unofficialllyy

Division

- anonymous

correct

- anonymous

what would you divide by to get adj by itself?

- Unofficialllyy

tan x?

- anonymous

that's right

- anonymous

so our equation now looks like this

- anonymous

adj = y/tanx

- anonymous

in words that means.
To find the earth to sun side you need to divide the length from the earth to the moon (y) over the value of tan(x).

- anonymous

Does that make sense?

- Unofficialllyy

Exactly, yes thank you so much. I have one more question that I need help with. Could you help? :)

- anonymous

sure, open a new question and tag me

- Unofficialllyy

okay!

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