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Pam is placing a bird feeder in a tree in her back yard. She first needs to put up a 10-inch wooden platform in the fork of two tree branches that make a 52° angle, as shown below. What equation can Pam use to determine xthe distance up the tree trunk from the fork at she should drill attach the platform?

Respuesta :

MrRoyal

Answer:

[tex]x = \frac{10}{\tan(52^o)}[/tex]

Step-by-step explanation:

Given

See attachment for illustration

Required

Equation to find x

The relationship between angle [tex]52^o[/tex] and side lengths x and 10 inches is by tangent formula which is given by:

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(52^o) = \frac{10}{x}[/tex]

Make x the subject

[tex]x = \frac{10}{\tan(52^o)}[/tex]

Ver imagen MrRoyal

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