Answer:
78.79°
Step-by-step explanation:
A fireman placed a ladder of length 36 feet against a building.
Now, if he placed the ladder 7 feet from the base of the building, then the angle formed between the ladder and the ground will be [tex]\theta[/tex] (Say).
Now, the ladder, the base ground and the building forms a right triangle and the ladder is the hypotenuse of the triangle and [tex]\theta[/tex] is the base angle.
So, [tex]\cos\theta = \frac{\textrm {Base length}}{\textrm {Ladder length}} = \frac{7}{36}[/tex]
⇒ [tex]\theta = \cos^{-1}(\frac{7}{36}) = 78.79^{\circ}[/tex] (Answer)
