An observer (O) is located 500 feet from a school (S). The observer notices a bird (B) flying at a 39° angle of elevation from his line of sight. How high is the bird flying over the school? You must show all work and calculations to receive full credit.

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Question

An observer (O) is located 500 feet from a school (S). The observer notices a bird (B) flying at a 39° angle of elevation from his line of sight. How high is the bird flying over the school? You must show all work and calculations to receive full credit.

(picture in replies)

Kyky232 · Answer

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Kyky232 · Answer

@AZ

snowflake0531 · Answer

Do you remember your trigonometric ratios?

snowflake0531 · Answer

sin(x) = opposite/hypotenuse
cos(x) = adjacent/hypotenuse
tan(x) = adjacent/opposite

this is where, we look from one angle, its opposite side, adjacent side, and the hypotenuse

snowflake0531 · Answer

Lel, i guess there are two ways to do it then xddd

but the other way besides for the one damien said is to use the tangent ratio
so
$$\tan(x)=\frac{ h }{ 500 }$$ and so we simplify it to
$$h=\tan(39)500$$
remember to do the stuff in degree mode

jbug2004 · Answer

h=tan(39)500

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