Answer:
a=54iiiipoiujhghnmn n
Step-by-step explanation:
<span>the longitude of the ramp is determined by the Hypotenuse, we have the angle(4.5Âş), and the opposite side (3ft), so with the Sin(x) trigonometric function ( sin(x)=opposite/hypotenuse ) we can calculate the answer.
Using the formula, hypotenuse=opposite/sin(x)
Hypotenuse=3ft/sin(4.5)
hypotenuse=3ft/0.0784591
hypotenuse=38.236482
the ramp must be 38.2 ft long.
the calc must be in degrees to get an accurate answer to any trigonometric function</span>
Answer:
y = √55
Step-by-step explanation:
All the triangles are similar, so the ratio of short side to hypotenuse is the same for all:
5/y = y/(5+6)
y^2 = 55
y = √55
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<em>Comment on the geometry</em>
There are three "geometric mean" relationships that apply to this geometry.
- the altitude BD is the geometric mean of BC and BA (√30)
- the long side of the large triangle is the geometric mean of the longer segment of the hypotenuse and the whole hypotenuse (x = √66)
- the short side of the large triangle is the geometric mean of the shorter segment of the hypotenuse and the whole hypotenuse (y = √55)
If you were aware of the last of these relationships, you could write down the answer without any "work."
y = √(5(5 +6)) = √55
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The geometric mean is the n-th root of the product of n numbers. When there are 2 numbers, it is the square root of their product.
Answer:
$420
Step-by-step explanation:
130x12=1560
165x12=1980
1980-1560=420
