Respuesta :
Answer:
Option B 161.7 cm²
Step-by-step explanation:
In a right angle triangle measure of one angle is given as 23°
Adjacent side or base is given as 27.6 cm.
Hypotenuse length = 30 cm.
We have to find the area of the triangle
Since area of a triangle = [tex]\frac{1}{2}[/tex] (Base) (height)
tan 23° = [tex]\frac{height}{Base}[/tex] = [tex]\frac{h}{27.6}[/tex]
0.42447 = [tex]\frac{h}{27.6}[/tex]
h = 27.6 × 0.42447 = 11.716 cm
Now area of the triangle = [tex]\frac{1}{2}[/tex] (27.6) (11.716)
= 161.67 cm² ≈ 161.7 cm²
