HELP! which is the most accurate measurement of 1 mile remember there are 1760 yards in a mile.
2 answers:
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Answer:
The correct option is;
21 ft
Step-by-step explanation:
The equation of the parabolic arc is as follows;
y = a(x - h)² + k
Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)
We therefore have;
y = a(x - 20)² + 25
Whereby the parabola starts from the origin (0, 0), we have;
0 = a(0 - 20)² + 25
0 = 20²a + 25 → 0 = 400·a + 25
∴a = -25/400 = -1/16
The equation of the parabola is therefore;
To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28
Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;
.
Answer:
Given the statement: For a person standing 100 m from the center of the base of the excel tower, the angle of elevation to the top of the tower is 71.6 degrees.
Let h be the height of the Eiffel tower.
Angle of elevation is,
Distance of boy standing from the center of the base of the Eiffel tower is, 100 m.
Using tangent ratio:
From the given figure as shown;
Solve for h;
Multiply both sides by 100 we have;
or
Simplify:
therefore, the height of the Eiffel tower is, 300m
