Mrs. lowndes was buildin a play house for her grandson. the scale listed on the building bluerint was 2in = 5ft. what is the actual height of the playhouse if the height of the drawing on the instructions was 8.5 inches.

21.25 ft

Step-by-step explanation:

we know that

The scale factor is

That means

2 inches in the drawing represent 5 feet in the actual

To find out the actual height, divide the height in the drawing by the scale factor

so

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm