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A disgruntled employee was seen firing a rifle at a victim who was 4.83 ft tall while hidden
in a tree that was 103.7 yds away from the victim. Calculate the height that the shooter had
to be up in the tree if the angle of trajectory from which the shooter fired was 46º.

Respuesta :

Using the slope concept, it is found that the shooter had to be up a height of 105.77 yards on the tree.

What is a slope?

The slope is given by the vertical change divided by the horizontal change.

It's also the tangent of the angle of depression.

In this problem:

  • The vertical change is of 4.83 ft = 1.61 yd + y, in which y is the height the shooter was up on the tree.
  • The horizontal change is of 103.7 yds.
  • The angle is of 46º.

Hence:

[tex]\tan{(46^\circ)} = \frac{1.61 + y}{103.7}[/tex]

[tex]1.03553031379 = \frac{1.61 + y}{103.7}[/tex]

[tex]1.61 + y = 103.7(1.03553031379)[/tex]

[tex]y = 105.77[/tex]

The shooter had to be up a height of 105.77 yards on the tree.

More can be learned about the slope concept at https://brainly.com/question/18090623

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