The value for x is 6 from the given diagram. The given diagram is combination of two right angle triangle.
Step-by-step explanation:
The given is,
Combination of two right angle triangle
Step:1
From the right angle triangle ADC,
Values from the diagram,
∅ = 45°
AD = 7
From the trigonometric ratios,
[tex]Cos[/tex] ∅ = [tex]\frac{adj}{hyp}= \frac{AD}{AC}[/tex]
[tex]Cos 45 = \frac{7}{AC}[/tex]
[tex]=\frac{7}{cos 45}[/tex] ( ∵ cos 45 = 0.7071 )
[tex]= \frac{7}{0.7071}[/tex]
= 9.899
AC ≅ 10
Step:2
From the right angle triangle ABC,
Values from the diagram,
∅ = 55°
AC = 10
From the trigonometric ratios,
[tex]Cos[/tex] ∅ = [tex]\frac{adj}{hyp}= \frac{CB}{AC}[/tex]
[tex]Cos 55 = \frac{x}{10}[/tex]
[tex]= (10)(cos55)[/tex] ( ∵ cos 55 = 0.57357 )
[tex]=(10)(0.5735)[/tex]
= 5.7357
CB = x ≅ 6
Result:
The value for x is 6 from the given diagram. The given diagram is combination of two right angle triangle.
