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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.
is the earth to sun side adjacent, opposite or the hypotenuse in relation to the angle?
what is the side y?
so do we use sin, cos or tan?
so how would you find the adjacent side knowing the angle and the opposite side?
I'm not sure :(
ok so our equation looks like this so far
tan(x) = y/adj
how would we get adj by itself?
show me the steps
I'm not really sure how to though
I know I learned this I just can't remember.
This will take 2 steps
first you could multiply both sides by adj
(tan(x))(adj) = y
what do you think the last step is?
think of the left side as tanx times adj
what is the opposite of multiplication?
what would you divide by to get adj by itself?
so our equation now looks like this
adj = y/tanx
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).
Does that make sense?
Exactly, yes thank you so much. I have one more question that I need help with. Could you help? :)
sure, open a new question and tag me