Santiagorb0101idn
Answered

IDNLearn.com connects you with a community of knowledgeable individuals ready to help. Join our community to receive prompt and reliable responses to your questions from knowledgeable professionals.

the diagram shows a right angled triangle. 9cm 15cm x degrees. Find the size of angle x. Give your answer correct to 1 decimal place.​

The Diagram Shows A Right Angled Triangle 9cm 15cm X Degrees Find The Size Of Angle X Give Your Answer Correct To 1 Decimal Place class=

Sagot :

Answer:

31°

Step-by-step explanation:

As the opposing side and adjacent side of the angle x are given, we need to take the tan ratio of the angle.

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

Solving :

⇒ tan x° = 9/15

⇒ tan x° = 3/5

⇒ x = tan⁻¹ (0.6)

⇒ x = 31°

Given:

  • Opp= 9 cm
  • Adj= 15 cm

Note that:

  • Opp= Opposite
  • Adj= Adjacent

To find:

The size of the unknown angle "x"

Solution:

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

In this question we'll have to use tan because opposite and adjacent is given.

[tex]\large\boxed{Formula: tan(A)= \frac{opp}{adj}}[/tex]

Substitute according to the formula.

[tex]tan \: x= \frac{9}{15}[/tex]

We'll have to use tan inverse.

[tex]x={tan}^{-1}(\frac{9}{15})[/tex]

[tex]x=30.96375653[/tex]

[tex]\large\boxed{x=31° }[/tex]

Hence, the size of the unknown angle "x" is 31°

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com is your source for precise answers. Thank you for visiting, and we look forward to helping you again soon.