Question

I am stuck and I hate maths so please help me

Answer 1

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.

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

$\tan 23^\circ = \dfrac{9}{h}$

$h \tan 23^\circ = 9$

$h = \dfrac{9}{\tan 23^\circ}$

$h = \dfrac{9}{0.4245}$

$h = 21.2$

Answer: h = 21.2 cm