Sinθ = perpendicular/hypotenuse = AB/OBģ. The trigonometric Ratios and formulae are mentioned below: Trigonometry and its applications like heights and distances are used by architects, astronauts, surveyors, navigators, etc. The height and distance can be calculated using trigonometric functions. Using this the distance between two or more objects or places and the height of the object by finding the angle subtended by two sides are found. Heights and Distances is a very broad application of trigonometry. Note: tan0°=0, tan30°=1/√3, tan45°=1 Heights and Distances in Trigonometry The trigonometric values are mentioned in the table below. You know the values of the tan function at different angles for this. We know that the ratio of the Tan function is tan = Height/Distance Generally, the Tan trigonometric function is used to get height and distance accurately. The height and distance can be simply calculated using trigonometric ratios. It is formed only when the observer views the object at the ground from any height. The angle of Depression – The angle of depression is the inclination of light of sight and horizontal line when observers view the downward object. It is formed only when the observer views the upward-placed object. The angle of Elevation – The angle formed by the light of sight with the horizontal line when observers view the object situated upward over the horizontal line. The horizontal line is shown in the above figure. Horizontal line – The line passing parallel to the ground or surface is called a horizontal line. It gives an accurate idea of where the observers view. Line of Sight – The imaginary horizontal straight line drawn from the observer’s eye to the objects to be viewed. 
The important terms of heights and distances are as follows: You should know some important terms associated with height and distances to understand the concepts of heights and distances. The height of the building, mountain, tower, flag, etc., and the distance between any two objects can be measured easily using trigonometric ratios and formulas. Height is the measurement of vertical distance from any reference object while distance is the horizontal measurement of any particular point situated horizontally from the object.
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So read the full article to get detailed information about height and distance and their applications. Here we are going to discuss heights and distances including the height and distances formula, trigonometric applications, and problems based on heights and distances. It is also used to find the angle formed between two sides using trigonometric ratios and formulas.
It has many daily life applications such as calculating the height of building, mountains, towers, or any other object, the depth of the object, the distance between two heavenly bodies, etc. Heights and Distances: Heights and Distances are an important part of trigonometry used in many applications to calculate the height and distance of objects using trigonometric ratios. Heights and Distances – Important Terms.
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