Get comprehensive solutions to your problems with IDNLearn.com. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

PLEASE HELP WILL MARK BRAINLIST!!!!!

PLEASE HELP WILL MARK BRAINLIST class=

Sagot :

So if you want to round to the nearest tenth, then you can write the result 29.5°.

Introduction

Hi ! I'm Deva from Brainly Indonesia, I will help you solve problems using the Pythagorean Theorem. The Pythagorean theorem is usually used to express the relationship between the base, height, and hypotenuse sides of the various possible planes to form a right triangle pattern. The basic equation of the Pythagorean Theorem, namely :

[tex] \boxed{\sf{\bold{c^2 = a^2 + b^2}}} [/tex]

[tex] \boxed{\sf{\bold{b^2 = c^2 - a^2}}} [/tex]

[tex] \boxed{\sf{\bold{a^2 = c^2 - b^2}}} [/tex]

With the following conditions :

  • a = base side of right triangle
  • b = perpendicular side (height) of a right triangle
  • c = right triangle hypotenuse

Problem Solving

We know that :

  • a = [tex] \sf{\overline{UV}} [/tex] = 67
  • c = [tex] \sf{\overline{TV}} [/tex] = 77

What to ask :

  • x = measure of angle x = ... °

Step by step :

  • Find the value of b [tex] \sf{\overline{TU}} [/tex]

[tex] \sf{b^2 = c^2 - a^2} [/tex]

[tex] \sf{b = \sqrt{c^2 - a^2}} [/tex]

[tex] \sf{b = \sqrt{77^2 - 67^2}} [/tex]

[tex] \sf{b = \sqrt{5,929 - 4,489}} [/tex]

[tex] \sf{b = \sqrt{1440}} [/tex]

[tex] \sf{b \approx 37.95} [/tex]

  • Find the value of the angle x°. See that [tex] \sf{\overline{TU}} [/tex] is in front of the angle x°. We can use the sine which is the ratio of the opposite side of the angle to the length of the hypotenuse.

[tex] \sf{\sin x = \frac{\overline{TU}}{\overline{TV}}} [/tex]

[tex] \sf{\sin x = \frac{37.95}{77}} [/tex]

[tex] \sf{\sin x \approx 0.493} [/tex]

[tex] \sf{x \approx \sin^{-1} 0.493} [/tex]

[tex] \sf{x \approx 29.54^o} [/tex]

So if you want to round to the nearest tenth, then you can write the result 29.5°

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.