Answered

Solve your doubts and expand your knowledge with IDNLearn.com's extensive Q&A database. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

An observer (O) is located 900 feet from a building (B). The observer notices a helicopter (H) flying at a 49° angle of elevation from his line of sight. How high isthe helicopter flying over the building? You must show all work and calculations to receive full credit

An Observer O Is Located 900 Feet From A Building B The Observer Notices A Helicopter H Flying At A 49 Angle Of Elevation From His Line Of Sight How High Isthe class=

Sagot :

In order to calculate the height h of the helicopter, we can use the tangent relation of angle O.

The tangent relation is equal to the length of the opposite leg to the angle over the length of the adjacent leg to the angle.

So we have:

[tex]\begin{gathered} \tan (O)=\frac{HB}{OB} \\ \tan (49\degree)=\frac{h}{900} \\ 1.1504=\frac{h}{900} \\ h=1.1504\cdot900 \\ h=1035.36\text{ ft} \end{gathered}[/tex]

Therefore the helicopter's height is equal to 1035.36 feet.

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.