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X tan 70 28.
Angle of depression math is fun. Angle of depression the downwards angle from the horizontal to a line of sight from the observer to some point of interest. The angle of depression djb cbj θ alternate angles tan θ θ 2 51 44 3 the angle of depression to the boat is 3. An observer s line of sight would be above the horizontal. If the angle of depression is 20 degrees then the inside angle at the top of the triangle is 70 degrees.
Steven spots a yacht from the top of a lighthouse l which is 150 m tall. Draw a line from the top of the longer pole to the top of the shorter pole. Tan θ o a. Tan 70 x 28.
The angle of depression at that instant is 28. After 2 minutes he sees the same yacht with an angle of depression of 35. The rescue boat is 76 93 metres away from the base of the lighthouse. The term angle of depression denotes the angle from the horizontal downward to an object.
X 76 93 metres. This is the line of sight. Sohcahtoa pythagoras sine rule and cosine rule and all things trigonometry actually have a lot of uses in real life. T an θ 1 5 m 3 75 m t a n θ 1 5 m 3 75 m arctan θ 1 5 m 3 75 m arctan θ 2 5 21 8 a r c t a n θ 1 5 m 3 75 m a r c t a n θ 2 5 21 8.
You are looking down the grand canyon at an angle of depression of 45 45 and see a lovely rock formation on the canyon floor which is one mile straight down. Angles of elevation depression the term angle of elevation denotes the angle from the horizontal upward to an object. An observer s line of sight would be below the horizontal. Such as working out distances to thi.
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