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lara31 [8.8K]
3 years ago
10

Find the length of . Use that length to find the length of .

Mathematics
2 answers:
Verdich [7]3 years ago
4 0

Answer:

Length of CD is 10.7 cm

Step-by-step explanation:

we are given to find length of CD

Calculation of CD:

Firstly, we will find AC

In triangle ABC, we can use trig

sin(30)=\frac{AC}{10}

AC=10sin(30)

AC=5

now, we can find CD

In triangle ACD , we can use trig

cot(25)=\frac{CD}{AC}

CD=ACcot(25)

now, we can plug AC=5

CD=5cot(25)

CD=10.7

Alex73 [517]3 years ago
3 0

Answer:

AC = 5 cm ,  CD = 10.7 cm.

Step-by-step explanation:

Given : A triangle with a side 10 cm and angle 30 and 25.

To find  : Length of AC and CD.

Solution  We have given that a triangle

By the trigonometric ratio

Sin ( theta) = \frac{opposite}{hypotnuse}.

Sin (30) =  \frac{AC}{10}.

Plug the value of sin (30)

\frac{1}{2} = \frac{AC}{10}.

On multiplying by 10 both sides

Then AC = 5 cm.

By using AC we will find CD

Cot (theta) =  \frac{adjecent}{opposite}.

Cot (25) =  \frac{CD}{5}.

2.144 =   \frac{CD}{5}.

On multiplying both sides by 5

CD = 10.7 cm

Therefore, AC = 5 cm ,  CD = 10.7 cm.

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