The purpose of knowing the angle of elevation and depression in relation to the field of surveyor, military/police, aeronautics (pilot), engineers, landscapers, and architects is discussed below
<h3>What is angle of elevation and depression?</h3>
If a person stands and looks up at an object, the angle of elevation is the angle between the horizontal line of sight and the object. If a person stands and looks down at an object, the angle of depression is the angle between the horizontal line of sight and the object.
If the pilot looks straight out, that line of sight is horizontal (focused on the distant horizon). The pilot might see the airport's runway, distant buildings, or even mountains in her field of view.
If the pilot looks down at the ground, the one will see the ground crew. The angle of depression is the angle that is formed between the horizontal and the downward looking angle. It is always a downward view, an angle below the horizon.
For the ground crewmember, looking down would not be much help in communicating with the pilot in her cockpit seat. The crewmember will look up, above the horizontal line, to see the pilot. The ground crewmember's angle of vision if an angle of elevation, the angle above the horizon.
Angle of elevation or depression in a survey can be defined as the angle subtended between the line of sight passing through the scope and the horizontal axis of the instrument.
Engineers, landscapers, architects all use trigonometry in their everyday life to help them efficiently and safely create or design something new.
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. That gives you 
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and z = 6. In the third part, the student should have had the length of the hypotenuse as the denominator in the second ratio, which is 8. So your answer there is the second one down. In order to do that last one you need to find the hypotenuse in the triangle that has legs of 4 and 10. Using Pythagorean's theorem we find that that length is 
. Now set up your geometric mean: 
. Cross multiply to get 4x + 16 = 116 and that 4x = 100. Solve for x to get x = 25