Because of the pitch of the attic's roof, a bookcase that is 5 feet high must be place
as shown. What is the measure of the angle formed by the roof and the floor of the attic

Respuesta :

The measure of the angle formed by the roof and the floor of the attic is 22.62 degrees.

Right angle triangle

Right angle triangle are triangle that has one of its angles as 90 degrees. The angles formed can be found using trigonometric ratios.

Therefore,

tan x° = opposite / adjacent

tan x° = 5 / 12

tan x° = 0.41666666666

x = tan⁻¹ 0.41666666666

x = 22.6198649482

x = 22.62°

Therefore, the measure of the angle formed by the roof and the floor of the attic is 22.62 degrees.

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