Rosie2007johnson
Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.