r/askmath • u/Haunting_Meeting_225 • 1d ago

Geometry Can someone help me solve this please

Post image

I am joining the union and this is a sample question and I am just not sure how to figure this out. The arc is throwing me off, it's the only one I am having trouble with. If someone could explain this to me I would be extremely appreciative. Thank you so much.

5 Upvotes

78% Upvoted

13 comments sorted by

4

u/bwakabats 1d ago

2

u/RoboWeaver 1d ago

This is a good diagram of the approach.

1

u/Haunting_Meeting_225 1d ago

Oh shit, of course it's 10. My brain over complicated this. I think the diagram was throwing me off, it is so simple now. Thank you so much! I really appreciate it.

1

u/isabella-skyy 1d ago

Drawing it out straight up from the center point makes it so obvious. Nice simple breakdown.

2

u/Ragingman2 1d ago

4 feet from the ground to the center point. 10' radius from there to all points on the arc. The straight up part is 4+10 = 14' off of the ground.

1

u/Haunting_Meeting_225 1d ago

I see it now. I definitely over complicated this in my head. Thank you so much.

2

u/Shoddy_Scallion9362 1d ago

The answer should be 14'. From the bottom:

2' + 2' + 10' = 14'

2

u/One_Wishbone_4439 Math Lover 1d ago

Height = 10 + 2 + 2 = 14

1

u/lazulilaze 1d ago

10 up and 4 is given

1

u/Frequent-Entrance154 1d ago

What I think doesn't matter. What matters is your attempt. What do you reckon?

1

u/Bounded_sequencE 1d ago

Since a radius is given, we are allowed to assume the arc is circular, i.e. every point on the arc has distance 10' from the center point.

That also holds for the vertex, so we get "X = 2' + 2' + 10' = 14' ".