Answer:
C. [tex] 55^{\circ}[/tex]
Step-by-step explanation:
Let x represent the angle formed between the ladder and the ground.
We have been given that a 7-foot ladder is leaned against a building in such a way that the bottom of the ladder is 4 feet from the base of the wall. We are asked to find the angle formed between the ladder and the ground.
From our attached file, we can see that ladder and building forms a right triangle with respect to ground, where, side with 4 feet is adjacent and length of ladder is hypotenuse of right triangle.
[tex]\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]
[tex]\text{cos}(x)=\frac{4}{7}[/tex]
[tex]x=\text{cos}^{-1}(\frac{4}{7})[/tex]
[tex]x=55.150095^{\circ}[/tex]
[tex]x\approx 55^{\circ}[/tex]
Therefore, the measure of angle formed between the ladder and the ground is 55 degrees and option C is the correct choice.
