We appreciate your visit to The Statue of Liberty stands on a 150 ft pedestal From a point 250 ft from the base of the pedestal the angle of elevation. 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 :
Step-by-step explanation:
Below is an attachment containing the solution
Thanks for taking the time to read The Statue of Liberty stands on a 150 ft pedestal From a point 250 ft from the base of the pedestal the angle of elevation. 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 height of the statue of liberty is 147.938 ft
Step-by-step explanation:
The statue of liberty stands on a pedestal of 150 ft. From a point 250 ft from the base of the pedestal, the angle of elevation to the top of Liberty’s torch is 50°.
This represents a right angle triangle with a total height = (height of the statue) + height of the pedestal
let a be the height of the statue, Therefore the total height = (a + 150) ft
The triangle has a base length of 250 ft and an angle of elevation of 50°.
From this, since:
tan(Θ) = opposite/adjacent
where the opposite side to the angle Θ is (a + 150) ft and the adjacent to the angle Θ is 250 ft and Θ = 50°
⇒ tan(Θ) = opposite/adjacent
∴ tan(50) = (a + 150)/250
1.192 = (a + 150)/250
1.192 × 250 = (a + 150)
(a + 150) = 297.938
a = 297.938 - 150 = 147.938
a = 147.938 ft
The height of the statue of liberty is 147.938 ft
