At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Answer:
32.33 feet
Step-by-step explanation:
In relation to the 60° angle the ladder makes with the ground, the only relevant information we need is that the height from the bottom of the wall to the electric box is 28 feet, which is our opposite side, and we are to find the length of the ladder, which is our hypotenuse. So, we use the sine function.
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]sin60^\circ=\frac{28}{x}[/tex]
[tex]xsin60^\circ=28[/tex]
[tex]x=\frac{28}{sin60^\circ}[/tex]
[tex]x=\frac{28}{(\frac{\sqrt{3}}{2})}[/tex]
[tex]x=\frac{56\sqrt{3}}{3}[/tex] <-- Exact Answer
[tex]x\approx32.33[/tex] <-- Approximate Answer
Therefore, the length of the ladder is about 32.33 feet.
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
