santiagorb0101
Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

The diagram shows a right angled triangle. 7cm and 11cm and x degrees. Find the size of angle x. Give your answer correct to 1 decimal place.​

The Diagram Shows A Right Angled Triangle 7cm And 11cm And X Degrees Find The Size Of Angle X Give Your Answer Correct To 1 Decimal Place class=

Sagot :

Given:

  • Hyp= 11 cm
  • Adj= 7 cm

Note that:

  • Hyp= Hypotenuse
  • Adj= Adjacent

To find:

The size of the unknown angle "x".

Solution:

We'll have to check which one is appropriate from SOHCAHTOA.

In this question we'll have to use cos because hypotenuse and adjacent is given.

[tex]\large\boxed{cos(A)=\frac{adj}{hyp}}[/tex]

Substitute according to the formula.

[tex]cos \: x= \frac{7}{11}[/tex]

We'll have to use cos inverse.

[tex]x={cos}^{-1}(\frac{7}{11})[/tex]

[tex]x=50.47880364[/tex]

[tex]\large\boxed{x=50.5°}[/tex]

Therefore, the size of the unknown angle "x" is 50.5°

Answer:

50.5°

Step-by-step explanation:

Since the adjacent side and the hypotenuse of the triangle are given, we need to take the cos ratio of the angle x.

============================================================

Solving :

⇒ cos x° = 7/11

⇒ x = cos⁻¹ (7/11)

⇒ x = 50.5°

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.