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Rahaf

  • 3 years ago

A tree standing vertically on level ground casts a 140 foot long shadow. The angle of elevation from the end of the shadow to the top of the tree is 24.7°. Find the height of the tree to the nearest foot.

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  1. cwrw238
    • 3 years ago
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    |dw:1366148873008:dw|

  2. cwrw238
    • 3 years ago
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    you use trigonometry to solve this x is height of the tree which trigonometric ratio do we use here?

  3. cwrw238
    • 3 years ago
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    the trig ratios are sine, cosine and tangent - do u know what each of those are?

  4. Rahaf
    • 3 years ago
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    I'm really not good at this i tried many times

  5. cwrw238
    • 3 years ago
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    they are the ratios of the different sides in a right angled triangle |dw:1366149664499:dw|

  6. cwrw238
    • 3 years ago
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    x is the angle O = opposite side H = hypotenuse (longest side) A = adjacent side sin x = O / H cos x = A / H tan x = O / A

  7. cwrw238
    • 3 years ago
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    you remember these by memorizing the following bit of nonsense SOH-CAH-TOA

  8. cwrw238
    • 3 years ago
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    in a right angled traingle you can find lengths of sides and angles as long you know the value of another 2 sides/angles

  9. cwrw238
    • 3 years ago
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    in your problem you know one angles 24.7 degrees and you know the adjacent side 140 and you need to find the opposite side x = 24.7, A = 140 and O = ? so you have O and A (TOA) so u need to use the tangent (T) tan 27.4 = x / 140 so x = 140* tan 24.7 grab your calculator and you can work this out

  10. cwrw238
    • 3 years ago
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    hope this helps sorry but I gotta go right now

  11. Rahaf
    • 3 years ago
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    Got it, thank you so much :)

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