Find the measure of the indicated side round to nearest tenth

Question

asked Jan 3, 2021 202k views

1 Answer

Ron Keidar · Answer 1 · 2021-01-08T10:53:30+0000

Answer:

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