please give me the example of Angle of Elevation and depression
In order to solve problems involving angles of elevation and depression, it is necessary to
Suppose a tree 50 feet in height casts a shadow of length 60 feet. What is the angle of elevation from the end of the shadow to the top of the tree with respect to the ground?
First we should make a diagram to organize our information. Look for these diagrams to involve a right triangle. In this case, the tree makes a angle 90º with the ground. A diagram of this right triangle is shown below.
In the diagram, known distances are labeled. These are the 50 and 60 foot legs of the right triangle corresponding to the height of the tree and the length of the shadow.
The variable q is chosen to represent the unknown measurement, the object of the question.
To relate the known distances and the variable, an equation is written. In this case the equation involves the lengths of the sides which are opposite and adjacent to the angle q. Using the ratio of opposite to adjacent sides, we have .
We use inverse tangent of or which is the angle of elevation.
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25 feet
The angle of depression is equal to the angle of elevation, so use the sine ratio to find the angle. sine = opposite (the vertical drop) divided by the hypotenuse (the ski slope) sine = 100/250 = 2/5 or 0.4 sine-1(0.4) = 23.57817848 degrees which is about 24 degrees
Angle of elevation: tan-1(100/130) = 37.6 degrees rounded to one decimal place
No, elevation is the angle at which you would be elevating something. Altitude is usually a term used when flying planes to describe how high you are in relation to sea level.
By drawing a sketch from the given information then using triangulation and trigonometry the height of the mountain works out as 3704.435 meters rounded to three decimal places.