# A tent

• Oct 24th 2009, 12:20 PM
MathBane
A tent
The question:

A circular reception tent has a center pole 30 feet high, and the poles along the outside are 8 feet high. Assume that the distance from the outside poles to the center pole is 30 feet. (Round your answers to two decimal places.)

(a) What is the slope of the line that follows the roof of the reception tent?

____ ft/ft

(b) How high is the tent 7 feet in from the outside poles?

____ ft

(c) Ropes are used to stabilize the tent following the line of the roof of the tent to the ground. How far away from the outside poles are the ropes attached to the ground?

____ft

I'm sure the Pythagorean Theorem is involved... but I'm not sure how it's involved if it even is.
• Oct 24th 2009, 12:26 PM
skeeter
Quote:

Originally Posted by MathBane
The question:

A circular reception tent has a center pole 30 feet high, and the poles along the outside are 8 feet high. Assume that the distance from the outside poles to the center pole is 30 feet. (Round your answers to two decimal places.)

(a) What is the slope of the line that follows the roof of the reception tent?

____ ft/ft

(b) How high is the tent 7 feet in from the outside poles?

____ ft

(c) Ropes are used to stabilize the tent following the line of the roof of the tent to the ground. How far away from the outside poles are the ropes attached to the ground?

____ft

I'm sure the Pythagorean Theorem is involved... but I'm not sure how it's involved if it even is.

no need for Pythagoras ... just similar right triangles. sketch a "side view" of the problem.

remember that slope = rise/run