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Anonymous
Anonymous asked in Science & MathematicsMathematics · 3 months ago

Math help ?

Assuming that a 370-foot tall giant redwood grows vertically, if I walk a certain distance from the tree and measure the angle of elevation to the top of the tree to be 58°, how far from the base of the tree am I?

 

Round your answer to four decimal places.

 

I am about _____    feet away from the base of the tree.

5 Answers

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  • 3 months ago

    Use the  Trig. function 'Tan(Tangent)

    Tan(angle) = opposite (height) / adjacent(base)

    Tan(58) = 370/base 

    Base = 370/Tan(58) 

    Base = 370/1.60033....

    Base = 231.2 ft. 

  • 3 months ago

    Let x ft be the distance, then

    370/x=tan(58*)

    =>

    x=370/tan(58*)

    =>

    x=231.2016602~231.2017.

    Ans. you are about 231.2017 ft from the base of the tree.

  • ?
    Lv 7
    3 months ago

     Assuming that a 370-foot tall giant redwood grows vertically, 

     if I walk a certain distance from the tree 

     and measure the angle of elevation to the top of the tree to be 58°, 

     how far from the base of the tree am I?

     If we would treat the height of the redwood tree perpendicular from the horizontal, 

     we can solve for the distance from the base 

     using trigonometric ratios of a right triangle. 

     Since we know that

     tan (θ) = opposite / adjacent, 

     then tan (58°) = 370/x 

     x = 370/tan (58°) 

     x = 231.20166020645112

     Therefore, you are approximately 

     231.2017 ft away from the base of the tree.

  • Jim
    Lv 7
    3 months ago

    SOHCAHTOA

    You have the opposite and want adjacent, so use Tan

    Tan 58 = Height/distance

    Distance = height/tan 58 = 370/tan 58

    About 230 feet, you should do the actual calc...

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  • 3 months ago

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