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Marta_Voda [28]
3 years ago
10

Is 1/sec^2(θ) the same as cos^2(θ)

Mathematics
1 answer:
dexar [7]3 years ago
8 0
\frac{1}{sec^2\theta}=cos^2\theta\\\\L=\frac{1}{\left(\frac{1}{cos\theta}\right)^2}=\frac{1}{\frac{1}{cos^2\theta}}=1:\frac{1}{cos^2\theta}=1\cdot\frac{cos^2\theta}{1}=cos^2\theta=R
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1/2 because it becomes simplified
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3 years ago
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A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously m
lukranit [14]

Answer:3.677 miles

Step-by-step explanation:

First we have to know that the distance between two consecutive milestone is 1mile, I have attached a diagram representing the problem, point C being the point of the balloon and point A and point B being the points of the consecutive milestones

I labelled the horizontal length between the balloon and the first milestone x and the height of the balloon h

From the diagram, we use the tan rule for right angle triangles to find x and h

Tan22=h/x

Making her the subject of formula

h=xtan22 (1)

Similarly

Tan20=h/(x+1)

h=(x+1)tan20 (2)

Putting (1) and (2) together

We solve for x, and then input our value for in (1) to get the value for h, the solution is in the second picture I sent

Note: tan rule says the tan of an angle is equal to the opposite side of the triangle(side directly facing the angle) divided by the adjacent side of the triangle( side of the triangle the angle is resting on)

Angle of depression from C to B is also angle of elevation from B to C( alternate angle are equal)

8 0
3 years ago
A translation is applied to the rectangle formed by the points A(−2, 6) , B(2, 6) , C(2, 4) , and D(−2, 4) . The image is the re
solniwko [45]
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Andre45 [30]

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4 0
2 years ago
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ddd [48]
Let, width = x
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Now, perimeter, 2(l+b) = 2(x+6+x)
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Hope this helps!
8 0
3 years ago
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