# How do you find the length of an angle?

Category:
science
space and astronomy

**In any right angled triangle, for any angle:**

- The sine of the
**angle**= the**length**of the opposite side. the**length**of the hypotenuse. - The cosine of the
**angle**= the**length**of the adjacent side. the**length**of the hypotenuse. - The tangent of the
**angle**= the**length**of the opposite side. the**length**of the adjacent side.

Also know, how do you find the measure of an angle with side lengths?

**Example**

- Step 1 The two sides we know are Adjacent (6,750) and Hypotenuse (8,100).
- Step 2 SOHCAHTOA tells us we must use Cosine.
- Step 3 Calculate Adjacent / Hypotenuse = 6,750/8,100 = 0.8333.
- Step 4 Find the angle from your calculator using cos
^{-}^{1}of 0.8333:

**sides**and the

**angle**between them. use The Law of Cosines to

**calculate**the unknown

**side**, then use The Law of Sines to

**find**the smaller of the other two

**angles**, and then use the three

**angles**add to 180° to

**find**the last

**angle**.

Keeping this in consideration, how do you find the missing angle?

To determine to measure of the unknown **angle**, be sure to use the total sum of 180°. If two **angles** are given, add them together and then subtract from 180°. If two **angles** are the same and unknown, subtract the known **angle** from 180° and then divide by 2.

The **height** of an object is **calculated** by **measuring** the distance from the object and the **angle** of elevation of the top of the object. The tangent of the **angle** is the object **height** divided by the distance from the object. Thus, the **height** is found. This method is often used in real-world situations.