Given:
Height of Mountain A = 5210 feet
Distance of Mountain A from a helicopter above the peak = 1000 feet
Angle of depression:
Mountain B to helicopter = 43 degrees
Mountain B to Mountain A = 19 degrees
First, draw an illustration and label the enumerated given values.
Observe that there are two right triangles formed:
From the triangle formed by the helicopter and Mountain B,
let x = total height of mountain B
y = leg of first triangle (helicopter and mountain b)
h = hypotenuse
Use the Pythagorean Theorem:
cos (43) = y / h
From the second triangle formed by mountain b and a,
cos (19) = (1000 + y) / h
solve for h and y
then, solve for the height of Mountain B:
x = 1000 + y + 5210
435 / 1696
because you first multiply the two mixed fractions and then u divide it with 212
Answer: The ratio of 6 /7 represent the number of boys to the number of girls in one classroom. You are given a total number of boys and girls.
So, your ratio has to represent how many boys to the total number of boys and girls in one classroom, or 13.
The proportion becomes, 6 / 13 = x / 78.
Cross multiply getting, 13 * x = 6 * 78
Divide by 13 to solve for x, or x = 36.
There are 36 boys in all of the classrooms and 42 girls in all of the classrooms.
The ratio of boys to girls in all of the classrooms is 36 / 42, or 6 / 7.
X = 0
<span>6y - 5x = 0 so it intersects x=0 at (0,0)
</span>
<span>x + 3y = 21
</span>so it intersect x=0 at (0,7)
multiply by 2
<span>2x + 6y = 42
subtracting 6y - 5x = 0
7x = 42
x = 6
so the third line intersects w second line at (6,5)
6. area of triangle = 1/2*base*height
= 1/2*7*6
=21
7. volume = volume of 2 cones
cone volume = 1/3*pi*radius^2*height
lower cone: radius=6, height=5
upper cone: radius=6, height=7-5=2
volume = 1/3*pi*6^2*(5+2)
=84pi
=263.89
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