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4.(07.04 MC)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.

40704 MCAn 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 hig class=


Answer :

Given:

Use :

[tex]\tan \theta=\frac{perpendicular}{base}[/tex]

perependicular = H

base=900

angle = 49

[tex]\begin{gathered} \tan 49=\frac{H}{900} \\ H=900\times\tan 49 \\ \end{gathered}[/tex]

[tex]\begin{gathered} H=900\times1.1503 \\ H=1035.33 \end{gathered}[/tex]

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