EnvyN249899 EnvyN249899
  • 25-10-2022
  • Mathematics
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! I will give you a great rating! Please help, I’m not sure how to do this. Also this is not a quiz this is practice

I will give you a great rating Please help Im not sure how to do this Also this is not a quiz this is practice class=

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MoosaV554679 MoosaV554679
  • 25-10-2022

Given:

Angle of depression made by Olivia is 34 degree to see the dog walking on the street from window 25 feet above the ground.

Required:

How far is the dog from building?

Explanation:

We will first draw labeled diagram

Now, we use trigonometric ratio

[tex]tan\theta=\frac{Perpendicular}{Base}[/tex]

So,

[tex]\begin{gathered} tan34^{\circ}=\frac{25}{x} \\ x=\frac{25}{0.67} \\ x=37.3 \end{gathered}[/tex]

Answer:

Hence, 37.3 feet is the distance of dog from building.

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