Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.
What is a slope?
The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we have that:
- The angle is of 45º.
- The vertical distance is the height of h.
- The horizontal distance is of 3m.
Hence:
tan(45º) = h/3.
1 = h/3.
h = 3 m.
If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:
[tex]\tan{\theta} = \frac{2}{3}[/tex]
[tex]\theta = \arctan{\left(\frac{2}{3}\right)}[/tex]
[tex]\theta = 33.69^\circ[/tex]
More can be learned about the slope concept at https://brainly.com/question/18090623
#SPJ1
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.
