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.
[tex] \tan A = \dfrac{opp}{adj} [/tex]
[tex] \tan 25^\circ = \dfrac{x}{15} [/tex]
Solve for x by multiplying both sides by 15.
[tex] 15 \tan 25^\circ = x [/tex]
[tex] x = 15 \tan 25^\circ [/tex]
Use a calculator to find the value of x.
[tex] x = 6.99 [/tex]
