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A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The ladder reaches a hieight of 15 feet on the wall. Find to the nearest degree, the angle the ladder makes with the wall?

Respuesta :

Answer: Angle the ladder makes with the wall is 68.19°

Step-by-step explanation:

Since we have given that

Length of a ladder = 15 feet

Distance between the foot of the ladder from the wall = 6 feet

We need to find the angle of elevation:

Since we will use "Tangent" as we have given Perpendicular and Base:

[tex]\tan\theta=\frac{Perpendicular}{Base}=\frac{15}{6}=2.5\\\\\theta=\tan^{-1}(2.5)\\\\\theta=68.19^\circ[/tex]

Hence, Angle of depression of the ladder with the wall is 68.19° as we know that Angle of elevation = Angle of depression by alternate interior angle.

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