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Thread: trig word problem (grade 12 applied math)

  1. #1
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    trig word problem (grade 12 applied math)



    Iím so confused, if someone could please help it would be greatly appreciated since my math teacher doesnít give us notes ://, thanks again to anyone that replies


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  2. #2
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    Re: trig word problem (grade 12 applied math)

    you have two triangles PLS and HLS that share the common side LS. The length of LS is the height $h$.

    Let P be at (0,0), and let $\ell = |PS|$ We have

    $\tan(47^\circ)=\dfrac{h}{\ell}$

    $\tan(36^\circ) = \dfrac{h}{125-\ell}$

    I'm sure you can finish from here.
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  3. #3
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    Re: trig word problem (grade 12 applied math)

    I would start by finding angle T in triangle PTH. Once you have that angle you can use the Law of Sines in triangle PTH to find either side PT or HT. If you use Law of Sines to find side HT, than you can use the right triangle HTS to find the height of the tree, or if you used Law of Sines to find side PT you could use the right triangle PTS to find the height of the tree. I hope this was helpful.
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