Answer:the angle that the ladder makes with the ground is 57.32 degrees
Step-by-step explanation:
The diagram of the right angle triangle ABC formed by the ladder and the wall is shown in the attached photo. The angle that the ladder makes with the ground is represented as #. To determine #, we will apply trigonometric ratio
Cos # = adjacent side/hypotenuse
From the given information,
Hypotenuse = 25
Adjacent 13.5
Cos# = 13.5/25 = 0.54
# = Cos^(-1)(0.54)
# = 57.32
Marie wants to measure the angle that the ladder makes with the ground. Then the angle will be 60°.
Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Given
A 25-foot ladder leans against a building.
The ladder's base is 13.5 feet from the building.
According to the Cosine rule,
[tex]\rm cos \ \theta = \dfrac{Base}{Hypotenuse}[/tex]
Base = 13.5
Hypotenuse = 25
Then, the angle will be
[tex]\begin{aligned} \rm cos \theta &= \dfrac{13.5}{25}\\\\\rm cos \theta &= 0.5\\\\\theta &= 60 \end{aligned}[/tex]
Thus, the angle will be 60°.
More about the trigonometry link is given below.
https://brainly.com/question/13710437
