Josie wants to build a slide that is 15 feet long. If the angle of elevation for the side will be 30 degree, how high in feet will the top of the slide be ?

7.5

Step-by-step explanation: draw a right triangle to represent the slide. the slide is 15 feet long, so the hypotenuse of the right triangle would be 15 feet. The angle from the bottom is 30 degrees according to the question. You want to find the angle opposite from the 30 degree angle so use sin(30). Sin=opposite/hypotenuse so sin(30)=x/15 sin(30) is 1/2 so 1/2=x/15. You multiply by 15 on both sides to get x by itself. 1/2*15=7.5

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

the answer is d. (1.2, -4.7) on edgn

hope this !