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this is about solution of right triangle :
two stations A and B is 1000 m apart , when the balloon was directly above for the angle of elevation is 47 degree at B, how far is the balloon from B ???

Sagot :

Havingtroublesidn
You can look at the figure I uploaded to guide you.

Since we are given the value of an angle, it's adjacent side and the hypotenuse is unknown, we can use SOHCAHTOA which means:
Sin(Opposite/Adjacent) Cos(Adjacent/Hypotenuse) Tan(Opposite/Adjacent)

Therefore, with the given values, we will use Cosine.
We will have:
[tex]cos(47)= \frac{1000}{x} [/tex]
[tex]x= \frac{1000}{cos(47)} [/tex]

Taking the value of x by using the calculator, we get 1466.28 m.

Hope that helps. Message me if you have problems, or if there are errors on my answer.
View image Havingtroubles
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