The 15 foot ladder leans against a wall, whose base is 6 feet away from wall, make 66 degrees angle with the ground.
What is right angle triangle property?
In a right angle triangle ratio of adjacent side to the hypotenuse side is equal the cosine angle between them.
[tex]\cos\theta=\dfrac{a}{b}[/tex]
Here, (a) is the adjacent side, (c) is the hypotenuse side and [tex]\theta[/tex] is the angle made between them.
Given information-
The length of the leader is 15 foot.
The base of the ladder is kept 6 feet away from the wall.
The image of the given situation is shown below,
The ladder is kept along with the wall. This situation creates the right angle triangle, with sides as the height of wall, base and the length of the ladder.
For this right angle triangle ratio of adjacent side to the hypotenuse side is equal the cosine angle between them.
Thus,
[tex]\cos\theta=\dfrac{6}{15}\\\theta=\cos^{-1}(0.4)\\\theta\cong 66^o[/tex]
Thus the angle made by the ladder with the ground is 66 degrees.
Learn more about the right angle triangle property here;
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