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PLEASE HELP!!! If the height of the lighthouse is 53 meters and the angle of elevation is 47°, which of the following may be used to find the distance, z, between the boat and the base of the lighthouse?

Respuesta :

semsee45

Answer:

tan(47)=53/z

Step-by-step explanation:

Using trig ratio tan(x)=O/A

there x is the angle of elevation, O is the side opposite the angle (the lighthouse) and A is the side adjacent the angle (distance between boat and bottom of lighthouse)

Therefore, tan(47)=53/z
  • H=53
  • theta=47°

[tex]\\ \tt\hookrightarrow tan47=\dfrac{H}{B}[/tex]

[tex]\\ \tt\hookrightarrow tan47=\dfrac{53}{B}[/tex]

[tex]\\ \tt\hookrightarrow B=\dfrac{53}{tan47}[/tex]

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