Question

PLEASE HELP!!! PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.
Find CD.

Write your answer as an integer or as a decimal rounded to the nearest tenth.

CD =

Answer 1

Answer:

$CD = 7.8$

Step-by-step explanation:

Given:

Δ DBC is a right angled triangle.

$\angle B = 90\°\\\\\angle C = 59\°$

BC = 4

We need to find the value of CD

Solution:

Now we know that:

$cos\ \theta = \frac{adjacent \ side}{hypotenuse}$

So we can say that;

$Cos \angle C =\frac{BC}{CD}$

Substituting the given values we get;

$Cos\ 59 = \frac{4}{CD}\\\\\\CD = \frac{4}{Cos\ 59} = 7.766$

Rounding to nearest tenth we get;

$CD = 7.8$

Hence the Value of CD is 7.8.