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anonymous

  • one year ago

The length of the shadow of a building is 100 meters, as shown below: The shadow of a building is 100 meters long. The acute angle that the shadow makes with the line joining the tip of the building to the end of the shadow measures 45 degrees. What is the height of the building?

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @dan815 @jim_thompson5910 @zzr0ck3r @HS_CA

  3. jim_thompson5910
    • one year ago
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    how far did you get?

  4. anonymous
    • one year ago
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    not far

  5. jim_thompson5910
    • one year ago
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    do you have an equation set up?

  6. anonymous
    • one year ago
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    thats my problem

  7. jim_thompson5910
    • one year ago
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    |dw:1441154654870:dw|

  8. jim_thompson5910
    • one year ago
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    with respect to the 45 degree angle, we can add these labels |dw:1441154698897:dw|

  9. jim_thompson5910
    • one year ago
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    which trig function will we use?

  10. anonymous
    • one year ago
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    tangent

  11. jim_thompson5910
    • one year ago
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    yes since tan(angle) = opp/adj

  12. jim_thompson5910
    • one year ago
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    so tan(45) = h/100

  13. jim_thompson5910
    • one year ago
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    are you able to isolate h in `tan(45) = h/100` ?

  14. anonymous
    • one year ago
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    no clue

  15. jim_thompson5910
    • one year ago
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    it might help to evaluate tan(45) first use this calculator http://web2.0calc.com/ to find the value of `tan(45)` and tell me what that is

  16. anonymous
    • one year ago
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    1

  17. jim_thompson5910
    • one year ago
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    yep

  18. jim_thompson5910
    • one year ago
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    so `tan(45) = h/100` is the same as `1 = h/100`

  19. jim_thompson5910
    • one year ago
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    so h = ??

  20. anonymous
    • one year ago
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    100

  21. jim_thompson5910
    • one year ago
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    good

  22. jim_thompson5910
    • one year ago
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    this is a 45-45-90 triangle with congruent legs

  23. anonymous
    • one year ago
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    wait is that it? 100 is the answer?

  24. anonymous
    • one year ago
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    thanks :D

  25. jim_thompson5910
    • one year ago
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    yeah you multiply both sides of `1 = h/100` by 100 to isolate h, you'll find that h = 100

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