A road is inclined at an angle of 5°. After
1 answer:
Answer:
464 feet
Step-by-step explanation:
<em>The Sine of the angle of inclination gives the increase in altitude.</em>
<em>This is because the Sine of an angle is equal to the Opposite side divided by the Hypotenuse side. i.e</em>
Sin Ф = Opposite ÷ Hypotenuse
Sin 5° = O ÷ 5328
0·08716 = O ÷ 5328
<em>Make </em>O<em> the subject and multiply every fraction by </em>5328
(0·08716/1 × 5328)= (O/5328 × 5328)
464·388 = O
∴ The increase in altitude is 464·388 feet
<em>This is supposed to be to the nearest foot so we round off</em>
464·388 becomes 464 feet
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Answer:
The y-value of the vertex is
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
In this problem we have
-----> this a vertical parabola open upward
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
The vertex is the point
The y-value of the vertex is