A ladder that is 30 ft long needs to reach 27 ft up a building.
What should the angle off of the vertical be?
Answers
Step-by-step explanation:
This problem can be easily illustrated in the photo below. Since the ladder is longer than the building, it must be placed diagonally with respect to the side of the building. Thus, the building, ladder, and the ground form a right triangle.
Based from the observation, the ladder is the hypotenuse and the building is one of the legs of the right triangle.
Let x = the angle with respect to vertical or the angle between the ladder and the building
Now, we can solve x using one of the main trigonometric functions Sine, Cosine, and Tangent. To know which one of these must be used, always remember the mnemonics:
SOH: Sine =
CAH: Cosine =
TOA: Tangent =
Based from the figure, we are dealing with the angle between the adjacent and the hypotenuse therefore we must use the cosine function to solve for x.
The solution for this problem goes like this
If you want to know more about basic trigonometric functions, you may visit the following links:
brainly.ph/question/26737
brainly.ph/question/1767904
brainly.ph/question/452994
hope helpful