Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Height of taller building is 160 m
What is height and distance ?
Distance is the measurement of an object from a specific point in the horizontal direction, and height is the measurement of an object in the vertical direction.
Given that :the angle of elevation from the top of a small building to the top of a nearby taller building is 42.83°. the angle of depression to the base of the taller building is 18.33°.
Height of taller building = (x+42.5) Let the taller structure be x m taller than the shorter building.
Allow y to be the distance between them.
The elevation difference between the top of a tiny building and the top of a nearby taller building is [tex]42.83^{0}[/tex] degrees. While the angle of the depression to the bottom is[tex]18.33^{o}[/tex] degrees,Tan(42.83) = [tex]\frac{x}{y}[/tex]
y = [tex]\frac{x}{tan 42.83}[/tex].........................(1).
therefore, the angle of elevation from the base of the taller structure to the top of the smaller building is [tex]18.33^{o}[/tex] degrees, tan(18.33) =[tex]\frac{42.5}{y}[/tex]
y = [tex]\frac{42.5}{tan(18.33)}[/tex]....................(2)
from (1) & (2)
[tex]\frac{x}{tan(42.83)} =\frac{42.5}{tan (18.33)}[/tex]
[tex]x = \frac{tan ( 42.83) . 42.5}{tan (18.33)}[/tex]
x=118 m
Height of taller building = 118+42.5= 160 m
To learn more about height and distance visit:
brainly.com/question/15939509
#SPJ4
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
