Question

This is a law of cosines please help me solve it

Answer 1

Given:

In ΔKLM,

k = 24, m = 16 and ∠L = 25°

To find:

The length of l.

Solution:

Using law of cosine:

`l^2=k^2+m^2-2km \cdot \cos L`

Substitute the given values in the formula.

`l^2=24^2+16^2-2* 24* 16 \cdot \cos 25^\circ`

The value of cos 25° = 0.906

`l^2=576+256-768\cdot(0.906)`

`l^2=832-695.808`

`l^2=136.192`

Taking square root on both sides.

`l=11.6`

The length of l is 11.6.