Question

Find the measure of the indicated side round to nearest tenth​

Answer 1

5. x = 30.0

6. x = 8.1

Explanation:

For the 25-deg angle, x is the adjacent leg, and 14 is the opposite leg.

The trig ratio that relates the opposite leg to the adjacent leg is the tangent.

`\tan A = (opp)/(adj)`

`\tan 25^\circ = (14)/(x)`

`x \tan 25^\circ = x`

`x = (14)/(\tan 25^\circ)`

`x = 30.0`

6.

For the 36-deg angle, x is the adjacent leg, and 10 is the hypotenuse.

The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

`\cos A = (adj)/(hyp)`

`\cos 36^\circ = (x)/(10)`

`10 \cos 36^\circ = x`

`x = 10 \cos 36^\circ}`

`x = 8.1`