We appreciate your visit to A ladder that is 32 ft long leans against a building The angle of elevation of the ladder is 70 degrees To the nearest tenth. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
This is a classic right triangle trig problem. The ladder leaning against the building serves as the hypotenuse of the triangle, the angle of elevation is the angle created by the ground and the ladder, and where the ladder meets the building is the leg opposite the angle (or the height of the triangle). Use the sin ratio to find the height of the ladder up the building. Sin(70) = x/32. Multiply both sides by 32 to get 32sin70=x and x = 30.07. (You mistyped the D answer, I'm assuming. Do this on your calculator to see)
Thanks for taking the time to read A ladder that is 32 ft long leans against a building The angle of elevation of the ladder is 70 degrees To the nearest tenth. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
Answer:
The correct option is B.
Step-by-step explanation:
It is given that a Ladder that is 32 ft long leans against a building. The angle of elevation of the ladder is 70.
Let the distance between ground and the top of the ladder be x.
In a right angled triangle,
[tex]\cos\theta=\frac{base}{perpendicular}[/tex]
[tex]\cos(70^{\circ})=\frac{x}{32}[/tex]
[tex]30\cos(70^{\circ})=x[/tex]
[tex]10.9446=x[/tex]
[tex]x\approx 10.9[/tex]
The distance between ground and the top of the ladder is 10.9 ft. Therefore the correct option is B.