1997×99 in vertical order
1 answer:
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The distance between the tree and the tower is 30√3m.
Justification:
<u>Let the situation be in a right angleABC form as shown in attached figure</u>.
<u>Given the height of the tower is 30m and the angle of depression to the base of the tree measure 30°</u>.
So, In ΔABC
tanθ = p/b
tan30° = 30/BC
1/√3 = 30/BC
BC = 30√3m.
The height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.
<h3>What is an ellipse?</h3>An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.
We have:
A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of the tunnel is 25 feet.
2a = 60 (width of the tunnel is 60 feet)
a = 30
And the maximum height at the center of the tunnel is 25 feet
b = 25
Let's assume the center of the ellipse is at the origin.
So the equation of the ellipse:
Now plug x = a - 5 = 30 - 5 = 25
After solving:
y = ±13.819 ≈ ±13.82
Height cannot be negative
y = 13.82 feet
Thus, the height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.
Learn more about the ellipse here:
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Answer:
Step-by-step explanation: