Answer:
[tex]CD = 7.8[/tex]
Step-by-step explanation:
Given:
Δ DBC is a right angled triangle.
[tex]\angle B = 90\°\\\\\angle C = 59\°[/tex]
BC = 4
We need to find the value of CD
Solution:
Now we know that:
[tex]cos\ \theta = \frac{adjacent \ side}{hypotenuse}[/tex]
So we can say that;
[tex]Cos \angle C =\frac{BC}{CD}[/tex]
Substituting the given values we get;
[tex]Cos\ 59 = \frac{4}{CD}\\\\\\CD = \frac{4}{Cos\ 59} = 7.766[/tex]
Rounding to nearest tenth we get;
[tex]CD = 7.8[/tex]
Hence the Value of CD is 7.8.
