Answered

Connect with a knowledgeable community and get your questions answered on IDNLearn.com. Ask your questions and get detailed, reliable answers from our community of knowledgeable experts.

A teenager in a highrise building looks out his window at another building across the street and realizes a crime is being committed. If the buildings are 60 feet apart, and the teenager is looking down into the other building with an angle of depression of 20°, how many feet lower is the floor where the crime is being committed? If each floor is 10 feet, about how many floors down is it?

Sagot :

Hello!

The first step to solving this exercise is to draw the situation, look:

Now we can solve this exercise. Notice that we want to know the height that I called "X".

To find it, we must use the tangent of 20º, look:

[tex]\tan (20\degree)=\frac{opposite}{adjacent}[/tex][tex]\begin{gathered} \frac{0.364}{1}=\frac{60}{x} \\ \\ 0.364x=60 \\ x=\frac{60}{0.364} \\ \\ x\cong164.83 \end{gathered}[/tex]

If each floor is 10 feet:

[tex]\frac{164.83}{10}=16.483\text{ floors}[/tex]

If you have to approximate, you can say that it is 16.5 floors down.

View image BailenD629825
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.