Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Find value of x in the 30° - 60° - 90° triangle. Give your answer as a simplified radical.

Find Value Of X In The 30 60 90 Triangle Give Your Answer As A Simplified Radical class=

Sagot :

VirαtKσhli

Given :-

  • A 30° - 60° - 90° traingle is given to us .
  • The perpendicular is 15 units .

To Find :-

  • The value of x .

Answer :-

As we can see that the triangle is divided by perpendicular bisector . So , the base gets divided into two equal halves . Here we will have to use the ratio of tan , as ;

[tex]\sf\longrightarrow[/tex] tan 60° = 15/x

[tex]\sf\longrightarrow[/tex] √3 = 15/x

[tex]\sf\longrightarrow[/tex] x = 15/√3

[tex]\sf\longrightarrow[/tex] x = √3² * 5/√3

[tex]\sf\longrightarrow[/tex] x = 5√3

[tex]\sf\longrightarrow[/tex] x = 5 * 1.732

[tex]\sf\longrightarrow[/tex] x = 8.66

Hence the required answer is 5√3 or 8.66 units.

mhanifa

Answer:

  • x = 5√3

Step-by-step explanation:

The property of 30° - 60° - 90° right triangle, side ratios are:

  • s : l : h = 1 : √3 : 2

Since side x is opposite to 30° angle, it's the short leg and 15 is the long leg. Use ratios to find the value of x:

  • x : 15 = 1 : √3
  • x = 15/√3
  • x = 15√3/3
  • x = 5√3
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.