5 examples of angle of depression and angle of elevation
Answers
Answer:
Angle of Elevation
Well, trigonometric functions are used to calculate distances by finding an angle determined by a horizontal (x-axis) and a line of sight (hypotenuse).
When we “elevate” our eyes to look up at the top of a building or see a bird in the sky we create an angle with the ground that we can then use to calculate the height or even the distance away from whatever it is we are looking toward. You never know when you might need to calculate the height of a saguaro cactus while driving through Arizona, as Purple Math beautifully illustrates.
Determining the Sides and Angles of a Triangle
Finding lengths and angles of a Right Triangle
The same thing can be said when we look down (i.e., we “depress” our eyes). We create right triangles all around us that will help us to find distances and angles.
So, let’s use our power of trigonometry and right triangles to calculate the distances of things we see all around us particularly, what you see above you and below you, as Khan Academy illustrates.
In this lesson we are not only are we going to use our knowledge of right triangles (i.e., Pythagorean Theorem and SOH-CAH-TOA), but we are going to draw upon our knowledge of geometry, once again, and use the power of alternate interior angles to help us solve some pretty cool problems such as:
Step-by-step explanation:
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Answer:
Angle of depression:
The angle of depression from the top of a vertical cliff is 220m in height to a ship is 28 degree.
Jason is on top of a cliff is 40m.
Steven spots a yacht from the top of lighthouse L which is 150 m tall.
From the top of a side, a child sees a cat.
Angle of elevation:
A student sitting in a class room sees a picture on the back board at the height of 1.5m front he horizontal level of sight.
A boy is standing at some distance from a 30m tall building and his eye level from the ground is 1.5 m.
√3 = 28.5/CD=== CD = 28.5/√3.
28.5/√3- 9.5/√3==== 19√3 m
