Question

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

Answer 1

Answer:

5. x = 30.0

6. x = 8.1

Step-by-step 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.

$\tan A = \dfrac{opp}{adj}$

$\tan 25^\circ = \dfrac{14}{x}$

$x \tan 25^\circ = x$

$x = \dfrac{14}{\tan 25^\circ}$

$x = 30.0$

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.

$\cos A = \dfrac{adj}{hyp}$

$\cos 36^\circ = \dfrac{x}{10}$

$10 \cos 36^\circ = x$

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

$x = 8.1$