trig-word-problems-angle-of-depression-problem

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Use trig in order to solve this angle of depression problem.

The angle of depression is always found outside the triangle. In order to solve the word problem start by drawing a picture and label the picture.

Horizontal line here that is 82 and we have an angle of depression of 35 degrees. The angle of depression from the top of a flag pole to a point on the ground is 35 degrees. If the point on the ground is 82 feet from the base of the flag pole, how tall is the pole? All I need to do is figure out where to put x. It is asking you how tall is the flagpole. My unknown will be over here. I know this angle of depression is 35, but I also know these two horizontal lines are parallel. What is the angle inside the triangle going to be? It will also be 35 degrees because they are alternate interior angles. Now I can focus on this bottom triangle to solve for the height of the flagpole. Which trig function is it? Opposite over adjacent. Tangent of 35 is equal to opposite over the adjacent. Place a one under tangent and tan of 35 times 82 So tan of 35 times 82 and I get 57.4 Therefore x = 57.4 and that is how high the flagpole is. Since this is a word problem I need to add my unit measure and the problem is in feet so my answer will be 57.4 feet tall. That is your answer to number 6.

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Tagged under: trig,angle depression,Trigonometry (Field Of Study),Angle (Dimension),math,maths,geometry

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