A rafter makes an angle of 22.5° with the roof joist, as shown How tall is the board supporting the middle of the roof?

≈ 5 ft

Step-by-step explanation:

Using the tangent ratio in the right triangle.

let the height of the board be h , then

tan22.5° = = ( multiply both sides by 12 )

12 × tan22.5° = h , then

h ≈ 5 ft ( to the nearest whole number )

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