Rosie2007johnson
Answered

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Question 3
B
16 cm
38°
-C
Calculate the length of AB to 2 decimal places.

Sagot :

varshamittal029

The question was incomplete. Below you can find the missing content.

ABC is a right-angled triangle.

b=16 cm

∠C=38°

Calculate the length of AB. Give your answer correct to 2 decimal places.

The picture is also attached below.

The length of the side AB is 9.85 cm.

From the triangle, it is given that

b= AC=16 cm

∠C=38°

Given that ΔABC is a right-angled triangle.

where ∠B=90°

So, here we can apply the  SOH CAH TOA identity

As we know the value of sinθ is the ratio of the opposite side and the hypotenuse of the angle θ.

So, sinθ = opposite side/ hypotenuse

In triangle ΔABC

⇒ sin 38°= AB/AC

⇒ sin 38°= AB/16

⇒ AB= 16 sin 38°

⇒ AB= 9.85 cm

Therefore the length of the side AB is 9.85 cm.

Learn more about sine

here: https://brainly.com/question/9565966

#SPJ10

View image varshamittal029
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