<span>Orthocenter is at (-3,3)
The orthocenter of a triangle is the intersection of the three heights of the triangle (a line passing through a vertex of the triangle that's perpendicular to the opposite side from the vertex. Those 3 lines should intersect at the same point and that point may be either inside or outside of the triangle. So, let's calculate the 3 lines (we could get by with just 2 of them, but the 3rd line acts as a nice cross check to make certain we didn't do any mistakes.)
Slope XY = (3 - 3)/(-3 - 1) = 0/-4 = 0
Ick. XY is a completely horizontal line and it's perpendicular will be a complete vertical line with a slope of infinity. But that's enough to tell us that the orthocenter will have the same x-coordinate value as vertex Z which is -3.
Slope XZ = (3 - 0)/(-3 - (-3)) = 3/0
Another ick. This slope is completely vertical. So the perpendicular will be complete horizontal with a slope of 0 and will have the same y-coordinate value as vertex Y which is 3.
So the orthocenter is at (-3,3).</span>
As for the right angle triangle the ratio of opposite side to the hypotenuse side is equal to the sine angle.
The distance of the top of the slide from the ground is 24 foot (to nearest foot). Thus option 3 is the correct option.
<h3>What is right angle triangle?</h3>
A right angle triangle is a triangle in which, one of the angle measures equals to the 9 degrees.
Given information
The angle of depression from top of the slide to the pool is 31. 66°.
The height of the slide is 46 feet.
Image is attached below for the given problem.
As for the right angle triangle the ratio of opposite side to the hypotenuse side is equal to the sine angle.
Thus,

Hence the distance of the top of the slide from the ground is 24 foot (to nearest foot). Thus option 3 is the correct option.
Learn more about the right angle triangle here;
brainly.com/question/2028228
Answer:
A-no solution
Step-by-step explanation:
There are no values of x that make the equation true.
6 :)
no. of books: 1 2 3 4
combinations: 12, 13, 14, 23, 24, and 34