Answer:
D
Step-by-step explanation:
The diagram is attached.
Looking at the diagram, we want the side "opposite" of the angle given and the side "adjacent" is given.
Which ratio relates opposite and adjacent? It is Tan.
We can use trigonometry and tan ratio to solve for the distance "x":

D is the correct answer.
Answer:

Step-by-step explanation:

Factor out 20 from the expression.

Take 20 as common.

Answer:
x=sqrt(3)/2 or -sqrt(3)/2
Step-by-step explanation:
(x,1/2) is on the unit circle at pi/6 and 5pi/6.
so x is either sqrt(3)/2 or -sqrt(3)/2
After every drop,the ball bounces to half it's previous height. With that understood.
1st drop -The ball drops 10m
1st bounce - 5m up
2nd drop - 5m down
2nd bounce - 2.5m up
3rd drop - 2.5m down
3rd bounce - 1.25m up
4th drop - 1.25m down
4th bounce - 0.625m up
5th/last drop - 0.625m down
To find the total vertical distance, you add them all.
10+5+5+2.5+2.5+1.25+1.25+0.625+0.625
=29.25m travelled in all.