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angle of depression

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a fire is spotted from a 26 foot tower at a angle of depression of 19 degree . to the nearest foot how far is the fire from the base of the tower? show the steps
 Mar 30, 2014

3+0 Answers

 #1
avatar+128475 
+2
Use the tangent here. Let x represent the distance the fire is from the tower.

tan (19° ) = 26 / x

x =
26 / tan(19 )

≈ 76 ft.
 Mar 30, 2014
 #2
avatar+33616 
0
CPhill:

Use the tangent here. Let x represent the distance the fire is from the tower.

tan (19° ) = 26 / x

x =

26 / tan(19 )

≈ 76 ft.



Here with a picture and a few more steps thrown in for good measure!
distance.PNG
 Mar 30, 2014
 #3
avatar+118609 
0
The angle at the top of Alan's picture is the angle of depression.
The angle at the bottom is equal because they are alternate angles on parallel lines.
 Mar 31, 2014

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