Determine the distance between the point on the tree to the point on the fence post.

Question

anonymous · Answer

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anonymous · Answer

sin(25)=FT/55

anonymous · Answer

its identity u have to use that sin(angle)=vertical distance/hypotineus

mathmale · Answer

Please note that the triangle in the given figure is a right triangle, and that the length you want to calculate is the length of the side of the triangle that is opposite the 25 degree angle.  The hypotenuse of this triangle is given and is 55 feet.

Which of the basic trig functions would be most applicable to solving this problem?  the sine?  the cosine?  the tangent?  Why?

juicstice · Answer

It doesn't clearly say it was a right triangle that is why I was confused on this one

juicstice · Answer

if that is the case wouldn't you just use pythagorean theorem? @mathmale

anonymous · Answer

gd idea @Juicstice

juicstice · Answer

but it doesn't really say it is a right triangle

juicstice · Answer

I would just use pythagorean theorem on this @katrinamarie0803

anonymous · Answer

and how would i set that up with the substitutons ?

juicstice · Answer

a^2+25^2=55^2

mathmale · Answer

You are looking for the length of side TF.  In your shoes I'd write $$|TF|^2 + (25 m)^2 = (55 m)^2$$ and then solve this equation for |TF|:  $$|TF|^2=(55 m)^2-(25 m)^2$$   and then take the positive square root of each of the two sides.

mathmale · Answer

Personally I'd choose to use trig to solve this problem: $$|TF|=(55 m)*\sin (25 \deg)$$