# What is the radius of a tipi with a height of 24 ft tilt with support posts lodgepole pine intersecting at an angle of 80 °? Round your answer to the nearest foot

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A tipi is cone with height 24 ft and and vertex angle 80 degree.

Since height is perpendicular to radius and bisect the vertx angle.

Thus we have a right angle triangle say ABC , right angle at B and angle C 40 degree (half of vertex angle )

therefore

`tan(40^o)=(AB)/(BC)`

`BC tan(40^o)=AB`

`AB=24 xx .839`

`=20.13 `

Thus nearest feet radius AB=20 feets.