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Math Help - Difficult trig problem. Would someone please help me!!!

  1. #1
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    Exclamation Difficult trig problem. Would someone please help me!!!

    DIFFICULT TRIG PROBLEM. WOULD SOMEONE PLEASE HELP ME!!!

    ATTACHED PDF FILE OF THE PROBLEM BELOW...

    THANK YOU. MUCH APPRECIATED!!
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    Last edited by smyatsallie; November 20th 2013 at 09:56 PM.
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  2. #2
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    Re: Difficult trig problem. Would someone please help me!!!

    What have you tried so far?
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    Re: Difficult trig problem. Would someone please help me!!!

    I attempted making a triangle and solving for the sides; one side measures 20.75m, with a 90 degree angle. Sadly, that is as far as I am able to get. Please help me get started.

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    Re: Difficult trig problem. Would someone please help me!!!

    You will want the boom to miss the top of the roof. It is 10+ (1/2)(8)= 14 m behind the truck. The roof is 9 m wide and has a "pitch of 9/12" so is (9)(9/12)= 27/4= 7.75 m high which means the peak of the roof is 6+ 7.75= 13.75 m above the ground. The boom starts 2.5 m above the ground so the peak of the house is 13.75- 2.5= 11.25 m above the base of the boom. But the hot tub itself is 1 m high so we will need 11.25+ 1= 12.25 m clearance. A right triangle with height 12.25 m and base 14 m has tan(\theta)= \frac{12.25}{14}.
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    Re: Difficult trig problem. Would someone please help me!!!

    Thank you very much! This really helps.
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