The horizontal distance to the control tower is approximately 18506.83m
Data;
To solve this problem, we need to use trigonometric ratio SOHCAHTOA.
In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.
The horizontal distance to the control tower is approximately 18506.83m
Learn more on trigonometric ratio here;
Mr. Zelman gave 400 books to his nephew
<em><u>Solution:</u></em>
Given that, Mr. Zelman wants to give 50% of his comic book collection to his nephew Alex
Mr. Zelman has 800 comic books
Number of books with Zelman = 800
Mr. Zelman wants to give 50% of books to Alex
Number of books given to nephew = 50 % of books of Zelman
Therefore, we have to find 50 % of 800
Thus he gave 400 books to his nephew
We know that equation of a parabola is given by :-
y = a(x-h)² + k
Where (h,k) is the vertex of parabola and (x,y) is any point on its curve.
Given that vertex of parabola is (3,5) and one point (x,y) is (6,-1).
We can plug the given information in the equation of parabola and solve it for value of 'a' :-
-1 = a(6 - 3)² + 5
-1 = a(3)² + 5
-1 = 9a + 5
9a = -1 -5 = -6
a =
a = is the final answer.
