The angle of elevation of the ladder in degrees is 65.2°.
Let us assume the angle of elevation be theta. It can be calculated using cos function. Forming the relation -
cos theta = base ÷ hypotenuse, where base is the distance between ladder and building and hypotenuse is the length of ladder. Keep the values in formula to find the value of cos theta.
cos theta = 5 ÷ 12
Performing division on Right Hand Side of the equation
cos theta = 0.42
Calculating the value of theta now.
theta = [tex] {cos}^{-1} [/tex] 0.42
theta = 65.2°
Hence, the angle of elevation is 65.2°.
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