Answer:
h = 21.2 cm
Step-by-step explanation:
You know the measure of one acute angle. It is 23 deg.
For that acute angle, the 9-cm leg is the opposite leg, and the h-cm leg is the adjacent leg. The trig ratio that relates the opposite leg to the adjacent leg is the tangent.
[tex] \tan A = \dfrac{opp}{adj} [/tex]
[tex] \tan 23^\circ = \dfrac{9}{h} [/tex]
[tex] h \tan 23^\circ = 9 [/tex]
[tex] h = \dfrac{9}{\tan 23^\circ} [/tex]
[tex] h = \dfrac{9}{0.4245} [/tex]
[tex] h = 21.2 [/tex]
Answer: h = 21.2 cm
