Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

from the base of the tower, you meassure its shadow to be 17.25m.at same the time your shadoe is 0.21m.you are 1.68 tall.how tall ia the tower?(round to two decimal plaves if necessary)

Sagot :

The Solution:

Representing the given in a diagram, we have

By similarity theorem, we have that:

[tex]\frac{BA}{BT}=\frac{BC}{BD}[/tex]

So,

[tex]\begin{gathered} BA=1.68m \\ BT=h=(1.68+x)m \\ BC=0.21m \\ BD=17.25m \end{gathered}[/tex]

Substituting these values in the formula above, we get

[tex]\frac{1.68}{1.68+x}=\frac{0.21}{17.25}[/tex]

Solving for x:

We shall cross multiply,

[tex]0.21(1.68+x)=1.68\times17.25[/tex][tex]0.3528+0.21x=28.98[/tex][tex]0.21x=28.98-0.3528=28.6272[/tex]

Dividing both sides by o.21, we get

[tex]x=\frac{28.6272}{0.21}=136.32\text{ m}[/tex]

The height of the tower is

[tex]h=1.68+x=1.68+136.32=138m[/tex]

Therefore, the correct answer is 138 meters.

View image AabanT256703
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.