Posted by **Panda** on Monday, September 10, 2012 at 1:10pm.

A 15 foot flagpole is mounted on top of a school building. If the top of the flagpole forms a 31° angle with the ground 50 ft from the base of the building, about how tall is the school building?

28 feet <-My answer

15 feet

30 feet <-second choice

11 feet

- Algebra I -
**Steve**, Monday, September 10, 2012 at 2:43pm
assuming the building is of height h, and the flag pole is right at the edge of the roof, then

(15+h)/50 = tan 31°

15+h = 50*0.6 = 30

h = 15

If the tree is x feet back from the roof, then

(15+h)/(x+50) = tan 31°

h+15 = .6x + 30

h = 15 + .6x

So, any height greater than 15 is a possible answer, depending on how far back the pole is from the building wall.

I think I'd still go with 15 feet.

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