Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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 )

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.