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kicyunya [14]
3 years ago
12

Find BC

Mathematics
2 answers:
Paha777 [63]2 years ago
7 0
The graphic says find BC and it says BC = 33 feet
Anyway, assuming the ladder is 34 feet, and makes an 82 degree angle,
cosine 82 degrees = adjacent / hypotenuse
adjacent = cosine 82 degrees * hypotenuse
adjacent = 0.13917 * 34
adjacent (or side BC) = <span> <span> <span> 4.73178 </span> </span> </span> feet

height (line AB) = sine (82 degrees) * hypotenuse (34 feet)
height (line AB) = 0.99027 * 34
height (line AB) = 33.67 feet

topjm [15]3 years ago
3 0
If the bottom side is ab then bc is <span>8.18535277, which to the nearest tenth is 8.2
</span>
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Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P (x_0,y_0,z_0) is

z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\

Now the partial derivatives of f are

f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}

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f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}

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z - 0 = 1\times (x - 9) -8\times (y - 1)

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z = x - 9 - 8y + 8

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Step-by-step explanation:

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