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Mathematics 7 Online
OpenStudy (anonymous):

I need help!

OpenStudy (acxbox22):

yes you do question please?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

@acxbox22

OpenStudy (acxbox22):

do you know your trig ratios?

OpenStudy (anonymous):

Yes well im not great at it @acxbox22

OpenStudy (johnweldon1993):

Well, if we have a triangle |dw:1430793636994:dw| with 'x' and 'y' known.. we can see that 'y' is the side adjacent to the 'x' and we can see the side we need is the hypotenuse of the the triangle So which trig function uses adjacent and hypotenuse?

OpenStudy (acxbox22):

remember SOH CAH TOA

OpenStudy (johnweldon1993):

sorry I'm incorrect there..

OpenStudy (anonymous):

yeah

OpenStudy (johnweldon1993):

distance between EARTH and shooting star... so the side we want is actually OPPOSITE the 'x'

OpenStudy (acxbox22):

yes we are actually using opposite and adjacent

OpenStudy (acxbox22):

|dw:1430793824320:dw|

OpenStudy (johnweldon1993):

So we have ''x' the side adjacent to 'x' and we want the side opposite 'x' So which trig function uses opposite and adjacent?

OpenStudy (anonymous):

so that would be Tan=opp/adj

OpenStudy (acxbox22):

yes gr8!

OpenStudy (acxbox22):

so now just put all that into an explanation :)

OpenStudy (johnweldon1993):

Correct So using the tangent function the scientist can measure the distance neded

OpenStudy (anonymous):

So would this work: The scientist can use only these two measurements to calculate the distance between the Earth and the shooting star if they use tangent function, which is the opposite divided by the adjacent side.

OpenStudy (anonymous):

@acxbox22

OpenStudy (acxbox22):

looks good :)

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