Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Find the value of cos J rounded to the nearest hundredth, if necessary.

Find The Value Of Cos J Rounded To The Nearest Hundredth If Necessary class=

Sagot :

DEVIL005

[tex] \green{\huge{\red{\boxed{\green{\mathfrak{QUESTION}}}}}} [/tex]

Find the value of cos J rounded to the nearest hundredth

[tex]\bold{ \red{\star{\blue{GIVEN }}}}[/tex]

HYPOTHESES= 13

PERPENDICULAR= 12

BASE = ?

[tex]\bold{\blue{\star{\red{TO \: \: FIND}}}}[/tex]

[tex] \cos(j) = ?[/tex]

[tex] \bold{ \green{ \star{ \orange{FORMULA \: USED}}}}[/tex]

  1. PYTHAGORAS THEROM
  2. [tex] \cos(j) = \frac{ BASE}{HYPOTENUSE}[/tex]

[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]

FOR BASE:-

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex] {13}^{2} = {12}^{2} + {x}^{2} \\ 169 - 144 = {x}^{2} \\ 25 = {x}^{2} \\ \sqrt{25} = x \\ 5 = x = base[/tex]

NOW :-

[tex] \cos(j) = \frac{ BASE}{HYPOTENUSE}[/tex]

[tex] \cos(j) = \frac{5}{13} \\ \cos(j) = 0.34[/tex]

Answer:

cosJ ≈ 0.38

Step-by-step explanation:

This is a 5- 12- 13 right triangle

with HI = 12, HJ = 13, IJ = 5

cosJ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{IJ}{HJ}[/tex] = [tex]\frac{5}{13}[/tex] ≈ 0.38 ( to nearest hundredth )

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.