The study of height and distance can be done using trigonometry. Trigonometry ratios are used to solve the problems related to height and distance. This is one of the applications of trigonometry. It helps to find the height of the objects like tree, building, tower, etc. and the distance between the objects. In this sub-topic, we will see different height and distance problems with solutions.

Height is the measurement of an object in the vertical direction and distance is the measurement of an object from a particular point in the horizontal direction. If we imagine a line connecting the point of observation to the topmost point of the object then the horizontal line, vertical line and the imaginary line will form a right-angled triangle.

While finding height and distances, we have to solve the right-angled triangle. For example, AB is the height of a tree, BC is the distance between the tree and the observer at C.

Here, if θ and BC are known, we can calculate the height of tree AB, or if θ and AB are known, we can calculate the distance between the tree and the observer by using trigonometric ratio.