Question

Help me with number 3 pleaseeeeeeeeeee!!!!!!!!!!!!!!!!!

Answer 1

Given:

∠M = 0.775 radians, m = 5 ft, n = 7 ft, p = 4 ft

To find:

The measure of angle P.

Solution:

Using law of cosine:

`p^2=m^2+n^2-2mn \cos P`

Substitute the given values.

`4^2=5^2+7^2-2* 5 * 7 \cos P`

`16=25+49-70 \cos P`

`16=74-70 \cos P`

Subtract 74 from both sides.

`16-74=74-70 \cos P-74`

`-58=-70 \cos P`

Multiply by -70 on both sides.

`$ (-58)/(-70) =(-70 \cos P)/(-70)`

`$ (29)/(35) = \cos P`

`$\cos^(-1) (29)/(35) = P`

`$34^\circ = P`

The measure of angle P is 34°.