Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for A
A = 180° - (90 + 48)° = 180° - 138° = 42°
----------------------------------------------------------
tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{18}{a}[/tex]
Multiply both sides by a
a × tan48° = 18 ( divide both sides by tan48° )
a = [tex]\frac{18}{tan48}[/tex] ≈ 16.2 ( to the nearest tenth )
-----------------------------------------------------------
sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{18}{c}[/tex]
Multiply both sides by c
c × sin48° = 18 ( divide both sides by sin48° )
c = [tex]\frac{18}{sin48}[/tex] ≈ 24.2 ( to the nearest tenth )
