beckyboom06
Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

work out the length x in the triangle

Work Out The Length X In The Triangle class=

Sagot :

mhanifa

Answer:

  • The length x is 16 m

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

Imagine the height of the triangle is h, which is perpendicular to 15 m side.

The area is:

  • A = bh/2

Use this formula and given values and find the value of h:

  • 60 = 15h/2
  • h = 60*2/15
  • h = 8 m

Since h is opposite to 30° angle and x is the hypotenuse of the formed right triangle, we'll use the property of 30°x60°x90° triangle.

  • Hypotenuse is twice the length of the side opposite to 30° angle.

In our case h is opposite to 30° angle, therefore we have:

  • x = 2h = 2*8 = 16 m

Answer:

x = 16

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] absinC

where a, b are 2 sides of the triangle and C the angle between them

here a = 15, b = x, C = 30° and A = 60 , then

[tex]\frac{1}{2}[/tex] × 15 × x × sin30° = 60

7.5x × [tex]\frac{1}{2}[/tex] = 60 ( multiply both sides by 2 to clear the fraction )

7.5x = 120 ( divide both sides by 7.5 )

x = 16

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.