Santiagorb0101idn
Answered

IDNLearn.com: Where your questions meet expert advice and community insights. Explore a wide array of topics and find reliable answers from our experienced community members.

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°

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.