Question

I need to find x answer choices are a.7.83 b.13.59 c.6.33 d.6.99

Answer 1

Answer:

d. 6.99

Step-by-step explanation:

You have a right triangle with the right angle marked.

The hypotenuse is opposite the right angle and has no length given.

For the 25-deg angle, the side with length 15 is the adjacent leg, and the side with length x is the opposite leg.

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

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

$\tan 25^\circ = \dfrac{x}{15}$

Solve for x by multiplying both sides by 15.

$15 \tan 25^\circ = x$

$x = 15 \tan 25^\circ$

Use a calculator to find the value of x.

$x = 6.99$