Mathématiques

Question

TRANSMATH 3e  49Pages219 

Math in english * 

With the data provided on the figure opposite , determine the values , rounded off to the nearest degree , of the measurements of the angles RST and STR . 

triangle srt rectangle en r  rs 3.4 cm et rt 5.6cm

1 Réponse

  • CAH SOH TOA cos = adjacent/hypo   sin = oppose/ hypo   tg = oppose/adjacent

    1) hypotenuse

    rs²+rt²= st²

    3,4²+5,6² = st²

    11,56 + 31.36 = st²

    42,92 = st²

    st = √42.92

    st = 6,55

    2) angle S

    cos S = 3,4/6,55 ≈ 0.52

    angle S = 58°

    3) angle T

    cos T = 5,6/6,55 ≈ 0.85

    angle T = 32°




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