Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

right triangles to find the exact length of:
T
30°
14 in
a) TI = in
60°
R

Right Triangles To Find The Exact Length Of T 30 14 In A TI In 60 R class=

Sagot :

fieryanswererft

Answer:

a) TI = 7√3 in

b) IR = 7 in

Explanation:

Using cosine rule:

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf cos(30) = \dfrac{TI}{14}[/tex]

[tex]\hookrightarrow \sf TI = 14cos(30)[/tex]

[tex]\hookrightarrow \sf TI = 7\sqrt{3}[/tex]

Using sine rule:

[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf sin(30) = \dfrac{IR}{14}[/tex]

[tex]\hookrightarrow \sf IR = 14sin(30)[/tex]

[tex]\hookrightarrow \sf IR = 7[/tex]

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.