How do I solve this problem?
I didn't give any side length
(1 votes)
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Linear algebra – coordinate equation?
Is my coordinate equation correct? There are many possible ones 🙂
Task 8
—
Root (5,42 + 32) = 6,177378
—
6,177378 * SIN(47,7) = 4,568981
—
x = 4,568981 * COS(35,4) = 3,724303
x is 3,7243 cm
Given:
Solution with the cosine set:
The cosine set is:
x2 = a2 + b2 – 2 times a times b times cos(γ)
1. Use values:
x2 = 5,42 + 3,02 – 2 times 5,4 times 3,0 times cos(96,9°)
x2 = 29,16 + 9,00 – 32,4 times cos(96,9°)
Two. calculate cosine value:
cos(96,9°) ≅ -0,127
x2 = 29,16 + 9,00 – 32,4 times (-0,127)
x2 = 38,16 + 4,12
x2 = 42,28
3. Pull root:
x = root of 42,28
x ≅ 6.5 cm
Answer:
The searched route x isexact root of 42,28 cmorrounded approx. 6.5 cm.
only Pyth in triangle with 5.4 and 3.0
then in DrEck with 47.7 Sinus
then in the DrEck with x Cosinus
You have three rectangular triangles. I think of the SATZ DES PYTHAGORAS, and when I see some angle, I think SINus, COSinus &TANgens
Try it with it
You have triangles, and you have the phrase of Pythagoras.
My pension
But without angle functions, this is nothing 🙂
They were already included in the triangles. That when reading the task, one does not ask why the values are clearly stated…
The angles are specified, not the functions to be used 😉