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alisha [4.7K]
3 years ago
11

A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of

inclination of the roof to the nearest degree?
Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

41 degrees to the nearest degree.

Step-by-step explanation:

A line drawn from the vertex and bisecting the base forms 2 right triangles.

The base of one right triangle = 1/2 * 12 = 6 m.

So cos A = adjacent side /hypotenuse   where A is the angle of inclination.

cos A=  6 / 8 = 0.75

m < A = 41.41 degrees.

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3 0
3 years ago
I'm giving 100 points and brainliest for the correct answer plz help me !!!
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6/2 =3

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3 years ago
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Cross multiply. Distribute...
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OH GOD IT'S A QUADRATIC
<em>(our equation is in ax² + bx + c = 0 form. a=3. b= -38. c= -8.
</em><em>plug these values into the quadratic formula and simplify.)</em>
x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-(-38)\pm\sqrt{(-38)^2-4(3)(-8)}}{2(3)}=\frac{38\pm\sqrt{1444+96}}6\\\\\sqrt{1444+96}=\sqrt{1540}=\sqrt{4\times345}=2\sqrt{345}\\\\\frac{38\pm2\sqrt{345}}6=\boxed{x=\frac{19\pm\sqrt{345}}3}

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