In this post, we are going to discuss with you **Trigonometry Short Tricks** for various competitive exams like SSC, IBPS, CAT, NDA etc. You can solve most questions of trigonometry without using any sin, cos or tan. You can solve the question within 1-2 minutes. The questions that you can solve using this trigonometry hack are related to height and distance only.

## Trigonometry Short Tricks

You just need to understand that in 99% questions related to height and distance in trigonometry, θ (Theta) is either 30°, 45° or 60°. So, basically you have two types of triangles:

**Type I Triangle**

In type I triangle, the angle between base and hypotenuse is either 30° or 60° as shown below:

You just need to remember that side opposite to 30° angle is x, side opposite to 90° angle is 2x and side opposite to 60° angle is √*3*x as shown below:

Lets’ solve some questions using this trick.

**Question**: A tree trunk of height 12 meters is erected with the support of a metal chain. An angle of 60° is made by metal chain with the tree trunk. Find the length of the metal chain.

**Answer: **As per data given in the question, we can draw the picture as shown below:

As we know from the trick, if side opposite to 30° angle is x, side opposite to 90° angle is 2x. Therefore, length of chain is 2 x 12 = 24 meters.

**Type II Triangle**

In type II triangle, the angle between base and hypotenuse is 45° as shown below:

You just need to remember that side opposite to 45° angle is x, side opposite to other 45° angle is also x and side opposite to 90° angle is √2x as shown below:

Lets’ solve some questions using this trick.

**Question**: A pole stands vertically on the floor. Point ‘P’ is 120 meters away from the foot of the pole and the angle of elevation is 45° then find the height of the pole.

**Answer: **As per data given in the question, we can draw the picture as shown below:

As we know, sides opposite to 45° angle have same length, therefore height of pole is also 120 meters. See how easy to solve the questions using these trigonometry short tricks.

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