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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
- use basic right triangle trigonometry
- solve equations which involve one fractional term is also important to know.
- find an angle given a right triangle ratio of sides.
- the fact that corresponding angles formed by parallel lines have the same measure.
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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If a man 5 ft tall observes that the angle of depression of the base of the pole is 30 degrees and that the angle of elevation of the top of the pol is 60 degrees how high is the pole in feet?
25 feet
A ski slope is 250 yards long with a vertical drop of 100 yardsfind the angle of depression of the slope?
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
100 ft height tree casts a shadow that is 130 ft long. What is the angle of elevation of the sun?
Angle of elevation: tan-1(100/130) = 37.6 degrees rounded to one decimal place
Do elevation and altitude mean the same thing?
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.
What is the height of a mountain when from the bottom of a tower 180 meters in height the angle of elevation is 26.42 degrees and from its top the angle of elevation is 25.3 degrees?
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.
What is the difference between angle of Elevation and angle of Depression?
Angle of elevation is looking upwards to an object and angle of depression is looking downwards to an object
What does angle of depression in geometry mean?
It is the alternate angle to the angle of elevation
What instrument measures angle of elevation and angle of depression?
A sextant.
How do you do igcse math project?
you could do a model showing the angle of elevation and angle of depression of a building
Word problems in angle of elevation and depression with answes and illustration?
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What is the object in angle of elevation and depression?
It can be any object that is above or below the horizontal from the perspective of a viewer.
A woman casts a shadow that is 8.8 feet long how tall is the woman?
Your missing the angle of elevation or depression.
What is the length of DE if the angle of depression from D to F measures 25 degrees and EF length is 10 yards?
The angle of depression is the same as the angle of elevation because they are alternate angle so use the tangent ratio:- 10*tan(25) = 4.663076582 or 4.663 yards to 3 decimal places
A surveyor stands on the roof of a building. The angle of elevation to the roof of the building next door is 25°. The angle of depression to the base of that building is 44°. The buildings are forty feet apart?
57 ft
If a man 5 ft tall observes that the angle of depression of the base of the pole is 30 degrees and that the angle of elevation of the top of the pol is 60 degrees how high is the pole in feet?
25 feet
Which type of objectives have angle of elevation?
The angle of elevation is looking at an object above your line of sight.
How do you find the angle of depression?
The angle below horizontal that an observer must look to see an object that is lower than the observer. Note: The angle of depression is congruent to the angle of elevation (this assumes the object is close enough to the observer so that the horizontals for the observer and the object are effectively parallel; this would not be the case for an astronaut in orbit around the earth observing an object on the ground).
